Kites - ACT Math
Card 0 of 504
Find the area of a kite if one diagonal is  long, and the other diagonal is
 long, and the other diagonal is  long.
 long.
Find the area of a kite if one diagonal is  long, and the other diagonal is 
 long.
The formula for the area of a kite is

Plug in the values for each of the diagonals and solve.

The formula for the area of a kite is
Plug in the values for each of the diagonals and solve.
Compare your answer with the correct one above
Find the area of a kite with the diagonal lengths of  and
 and  .
.
Find the area of a kite with the diagonal lengths of  and 
.
Write the formula to find the area of a kite. Substitute the diagonals and solve.

Write the formula to find the area of a kite. Substitute the diagonals and solve.
Compare your answer with the correct one above
Find the area of a kite with diagonal lengths of  and
 and  .
.
Find the area of a kite with diagonal lengths of  and 
.
Write the formula for the area of a kite.

Plug in the given diagonals.

Pull out a common factor of two in  and simplify.
 and simplify.


Use the FOIL method to simplify.


Write the formula for the area of a kite.
Plug in the given diagonals.
Pull out a common factor of two in  and simplify.
Use the FOIL method to simplify.
Compare your answer with the correct one above
A kite has two shorter sides and two longer sides. Each of the shorter sides has a length of 19 and each of the longer sides has a length of 25. What is the perimeter of the kite?
A kite has two shorter sides and two longer sides. Each of the shorter sides has a length of 19 and each of the longer sides has a length of 25. What is the perimeter of the kite?
Remember that a kite has two adjacent sets of shorter sides as well as two adjacent sets of longer sides.
Use the formula for perimeter of a kite:

Where  is the perimeter,
 is the perimeter,  is the length of the shorter sides, and
 is the length of the shorter sides, and  is the length of the longer sides.
 is the length of the longer sides.

Remember that a kite has two adjacent sets of shorter sides as well as two adjacent sets of longer sides.
Use the formula for perimeter of a kite:
Where  is the perimeter, 
 is the length of the shorter sides, and 
 is the length of the longer sides.
Compare your answer with the correct one above
If the short side of a kite has a length of  , and the long side of a kite has a length of
, and the long side of a kite has a length of  , what is the perimeter of the kite?
, what is the perimeter of the kite?
If the short side of a kite has a length of , and the long side of a kite has a length of 
, what is the perimeter of the kite?
Write the formula to find the perimeter of the kite.

Substitute the lengths and solve for the perimeter.

Write the formula to find the perimeter of the kite.
Substitute the lengths and solve for the perimeter.
Compare your answer with the correct one above
A kite has a side length of  and another side length of
 and another side length of  . Find the perimeter of the kite.
. Find the perimeter of the kite.
A kite has a side length of  and another side length of 
. Find the perimeter of the kite.
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of
 and another side with a length of  , each of these two sides must have one equivalent side.
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:



Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property: 
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of 
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:
Note: the correct solution can also be found by:
The original formula used in this solution is an application of the Distributive Property: 
Compare your answer with the correct one above
A kite has a side length of  and another side length of
and another side length of  . Find the perimeter of the kite.
. Find the perimeter of the kite.
A kite has a side length of and another side length of 
. Find the perimeter of the kite.
A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of
 and another side with a length of  , each of these two sides must have one equivalent side.
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:

Additionally, this problem first requires you to convert each side length from feet to inches.


The solution is:


Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property: 
A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of 
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:
Additionally, this problem first requires you to convert each side length from feet to inches.
The solution is:
Note: the correct solution can also be found by:
The original formula used in this solution is an application of the Distributive Property: 
Compare your answer with the correct one above
A kite has a side length of  and another side length of
 and another side length of  . Find the perimeter of the kite.
. Find the perimeter of the kite.
A kite has a side length of  and another side length of 
. Find the perimeter of the kite.
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of
 and another side with a length of  , each of these two sides must have one equivalent side.
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:



Note: the correct solution can also be found by:

By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of 
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:
Note: the correct solution can also be found by:
Compare your answer with the correct one above

Using the kite shown above, find the perimeter measurement.

Using the kite shown above, find the perimeter measurement.
A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side length of
 and another side length of  , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:



Note: the correct solution can also be found by:

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side length of 
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
Note: the correct solution can also be found by:
Compare your answer with the correct one above
A kite has a side length of  and another side length of
 and another side length of  . Find the perimeter of the kite.
. Find the perimeter of the kite.
A kite has a side length of  and another side length of 
. Find the perimeter of the kite.
A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side length of
 and another side length of  , each of these two sides must have one equivalent side.
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:



A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side length of 
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:
Compare your answer with the correct one above
A kite has a side length of  and another side length of
 and another side length of  . Find the perimeter of the kite.
. Find the perimeter of the kite.
A kite has a side length of  and another side length of 
. Find the perimeter of the kite.
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of
 and another side with a length of  , each of these two sides must have one equivalent side.
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:



Note, though, that  does not appear as an answer choice. Thus, convert
 does not appear as an answer choice. Thus, convert  into
 into  by:
 by: 
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of 
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:
Note, though, that  does not appear as an answer choice. Thus, convert 
 into 
 by: 
Compare your answer with the correct one above

Using the kite shown above, find the perimeter measurement.

Using the kite shown above, find the perimeter measurement.
A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side length of
 and another side length of  , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:



Additionally, the correct solution can also be found by:

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side length of 
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
Additionally, the correct solution can also be found by:
Compare your answer with the correct one above
A kite has a side length of  and another side length of
 and another side length of  . Find the perimeter of the kite.
. Find the perimeter of the kite.
A kite has a side length of  and another side length of 
. Find the perimeter of the kite.
a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of
 and another side with a length of  , each of these two sides must have one equivalent side.
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:



Note: the correct solution can also be found by:

a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of 
, each of these two sides must have one equivalent side.
The perimeter of this kite can be found by applying the formula:
Note: the correct solution can also be found by:
Compare your answer with the correct one above

Using the kite shown above, find the perimeter measurement.

Using the kite shown above, find the perimeter measurement.
A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side length of
 and another side length of  , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:



Note: the correct solution can also be found by:

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side length of 
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
Note: the correct solution can also be found by:
Compare your answer with the correct one above
A kite has a side length of  and another side length of
 and another side length of  . Find the perimeter of the kite.
. Find the perimeter of the kite.
A kite has a side length of  and another side length of 
. Find the perimeter of the kite.
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of
 and another side with a length of  , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:



Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property: 
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of 
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
Note: the correct solution can also be found by:
The original formula used in this solution is an application of the Distributive Property: 
Compare your answer with the correct one above

Using the kite shown above, find the perimeter measurement.

Using the kite shown above, find the perimeter measurement.
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of
 and another side with a length of  , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:



Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property: 
By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side with a length of 
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
Note: the correct solution can also be found by:
The original formula used in this solution is an application of the Distributive Property: 
Compare your answer with the correct one above
A kite has a side length of  and another side length that is twice as long. Find the perimeter of the kite.
 and another side length that is twice as long. Find the perimeter of the kite.
A kite has a side length of  and another side length that is twice as long. Find the perimeter of the kite.
A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side that is twice as long,
 and another side that is twice as long,  , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:



Note: the correct solution can also be found by:

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of  and another side that is twice as long, 
, each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:
Note: the correct solution can also be found by:
Compare your answer with the correct one above
A kite has two adjacent sides both with a measurement of  . The perimeter of the kite is
. The perimeter of the kite is  . Find the length of one of the remaining two sides.
. Find the length of one of the remaining two sides.
A kite has two adjacent sides both with a measurement of . The perimeter of the kite is 
. Find the length of one of the remaining two sides.
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.

The solution is:
 , where
, where  one of the two missing sides.
 one of the two missing sides.



A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.
The solution is:
, where 
 one of the two missing sides.
Compare your answer with the correct one above
A kite has two adjacent sides both with a measurement of  . The perimeter of the kite is
. The perimeter of the kite is  . Find the length of one of the remaining two sides.
. Find the length of one of the remaining two sides.
A kite has two adjacent sides both with a measurement of . The perimeter of the kite is 
. Find the length of one of the remaining two sides.
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.
The solution is:
 , where
, where  one of the two missing sides.
 one of the two missing sides.



A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.
The solution is:
, where 
 one of the two missing sides.
Compare your answer with the correct one above

Using the kite shown above, find the length of side  .
.

Using the kite shown above, find the length of side .
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.
The solution is:
 , where
, where  one of the two missing sides.
 one of the two missing sides.


Since the remaining two sides have a total length of  ft, side
 ft, side  must be
 must be 
A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.
The solution is:
, where 
 one of the two missing sides.
Since the remaining two sides have a total length of  ft, side 
 must be 
Compare your answer with the correct one above