Kites - ISEE Upper Level Quantitative Reasoning
Card 1 of 20
A kite has the area of 
. One of the diagonals of the kite has length 
. Give the length of the other diagonal of the kite.
A kite has the area of
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The area of a kite is half the product of the diagonals, i.e.
,
where 
and 
are the lengths of the diagonals.
The area of a kite is half the product of the diagonals, i.e.
where
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A kite has the area of . One of the diagonals of the kite has length . Give the length of the other diagonal of the kite.
A kite has the area of
Tap to reveal answer
The area of a kite is half the product of the diagonals, i.e.
,
where and are the lengths of the diagonals.
The area of a kite is half the product of the diagonals, i.e.
where
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Cassie is making a kite for her little brother. She has two plastic tubes to use as the skeleton, measuring 
inches and 
inches. If these two tubes represent the diagnals of the kite, how many square inches of paper will she need to make the kite?
Cassie is making a kite for her little brother. She has two plastic tubes to use as the skeleton, measuring
Tap to reveal answer
To find the area of a kite, use the formula 
, where 
represents one diagnal and 
represents the other.
Since Cassie has one tube measuring 
inches, we can substitute 
for 
. We can also substitute the other tube that measures 
inches in for 
.
To find the area of a kite, use the formula
Since Cassie has one tube measuring
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Two diagonals of a kite have the lengths of 
and 
. Give the area of the kite.
Two diagonals of a kite have the lengths of
Tap to reveal answer
The area of a kite is half the product of the diagonals, i.e.
,
where and are the lengths of the diagonals.
The area of a kite is half the product of the diagonals, i.e.
where
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In the following kite, 
, 
and 
. Give the area of the kite. Figure not drawn to scale.
In the following kite,
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When you know the length of two unequal sides of a kite and their included angle, the following formula can be used to find the area of a kite:
,
where _
_are the lengths of two unequal sides, 
is the angle between them and 
is the sine function.
When you know the length of two unequal sides of a kite and their included angle, the following formula can be used to find the area of a kite:
where _
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Find the area of a kite with one diagonal having length 18in and the other diagonal having a length that is half the first diagonal.
Find the area of a kite with one diagonal having length 18in and the other diagonal having a length that is half the first diagonal.
Tap to reveal answer
To find the area of a kite, we will use the following formula:
where p and q are the lengths of the diagonals of the kite.
Now, we know the length of one diagonal is 18in. We also know the other diagonal is half of the first diagonal. Therefore, the second diagonal has a length of 9in.
Knowing this, we can substitute into the formula. We get
To find the area of a kite, we will use the following formula:
where p and q are the lengths of the diagonals of the kite.
Now, we know the length of one diagonal is 18in. We also know the other diagonal is half of the first diagonal. Therefore, the second diagonal has a length of 9in.
Knowing this, we can substitute into the formula. We get
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A kite has the area of . One of the diagonals of the kite has length . Give the length of the other diagonal of the kite.
A kite has the area of
Tap to reveal answer
The area of a kite is half the product of the diagonals, i.e.
,
where and are the lengths of the diagonals.
The area of a kite is half the product of the diagonals, i.e.
where
← Didn't Know|Knew It →
A kite has the area of . One of the diagonals of the kite has length . Give the length of the other diagonal of the kite.
A kite has the area of
Tap to reveal answer
The area of a kite is half the product of the diagonals, i.e.
,
where and are the lengths of the diagonals.
The area of a kite is half the product of the diagonals, i.e.
where
← Didn't Know|Knew It →
Cassie is making a kite for her little brother. She has two plastic tubes to use as the skeleton, measuring inches and inches. If these two tubes represent the diagnals of the kite, how many square inches of paper will she need to make the kite?
Cassie is making a kite for her little brother. She has two plastic tubes to use as the skeleton, measuring
Tap to reveal answer
To find the area of a kite, use the formula , where represents one diagnal and represents the other.
Since Cassie has one tube measuring inches, we can substitute for . We can also substitute the other tube that measures inches in for .
To find the area of a kite, use the formula
Since Cassie has one tube measuring
← Didn't Know|Knew It →
Two diagonals of a kite have the lengths of and . Give the area of the kite.
Two diagonals of a kite have the lengths of
Tap to reveal answer
The area of a kite is half the product of the diagonals, i.e.
,
where and are the lengths of the diagonals.
The area of a kite is half the product of the diagonals, i.e.
where
← Didn't Know|Knew It →
In the following kite, , and . Give the area of the kite. Figure not drawn to scale.
In the following kite,
Tap to reveal answer
When you know the length of two unequal sides of a kite and their included angle, the following formula can be used to find the area of a kite:
,
where __are the lengths of two unequal sides, is the angle between them and is the sine function.
When you know the length of two unequal sides of a kite and their included angle, the following formula can be used to find the area of a kite:
where _
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Find the area of a kite with one diagonal having length 18in and the other diagonal having a length that is half the first diagonal.
Find the area of a kite with one diagonal having length 18in and the other diagonal having a length that is half the first diagonal.
Tap to reveal answer
To find the area of a kite, we will use the following formula:
where p and q are the lengths of the diagonals of the kite.
Now, we know the length of one diagonal is 18in. We also know the other diagonal is half of the first diagonal. Therefore, the second diagonal has a length of 9in.
Knowing this, we can substitute into the formula. We get
To find the area of a kite, we will use the following formula:
where p and q are the lengths of the diagonals of the kite.
Now, we know the length of one diagonal is 18in. We also know the other diagonal is half of the first diagonal. Therefore, the second diagonal has a length of 9in.
Knowing this, we can substitute into the formula. We get
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Cassie is making a kite for her little brother. She has two plastic tubes to use as the skeleton, measuring inches and inches. If these two tubes represent the diagnals of the kite, how many square inches of paper will she need to make the kite?
Cassie is making a kite for her little brother. She has two plastic tubes to use as the skeleton, measuring
Tap to reveal answer
To find the area of a kite, use the formula , where represents one diagnal and represents the other.
Since Cassie has one tube measuring inches, we can substitute for . We can also substitute the other tube that measures inches in for .
To find the area of a kite, use the formula
Since Cassie has one tube measuring
← Didn't Know|Knew It →
Two diagonals of a kite have the lengths of and . Give the area of the kite.
Two diagonals of a kite have the lengths of
Tap to reveal answer
The area of a kite is half the product of the diagonals, i.e.
,
where and are the lengths of the diagonals.
The area of a kite is half the product of the diagonals, i.e.
where
← Didn't Know|Knew It →
In the following kite, , and . Give the area of the kite. Figure not drawn to scale.
In the following kite,
Tap to reveal answer
When you know the length of two unequal sides of a kite and their included angle, the following formula can be used to find the area of a kite:
,
where __are the lengths of two unequal sides, is the angle between them and is the sine function.
When you know the length of two unequal sides of a kite and their included angle, the following formula can be used to find the area of a kite:
where _
← Didn't Know|Knew It →
Find the area of a kite with one diagonal having length 18in and the other diagonal having a length that is half the first diagonal.
Find the area of a kite with one diagonal having length 18in and the other diagonal having a length that is half the first diagonal.
Tap to reveal answer
To find the area of a kite, we will use the following formula:
where p and q are the lengths of the diagonals of the kite.
Now, we know the length of one diagonal is 18in. We also know the other diagonal is half of the first diagonal. Therefore, the second diagonal has a length of 9in.
Knowing this, we can substitute into the formula. We get
To find the area of a kite, we will use the following formula:
where p and q are the lengths of the diagonals of the kite.
Now, we know the length of one diagonal is 18in. We also know the other diagonal is half of the first diagonal. Therefore, the second diagonal has a length of 9in.
Knowing this, we can substitute into the formula. We get
← Didn't Know|Knew It →
Cassie is making a kite for her little brother. She has two plastic tubes to use as the skeleton, measuring inches and inches. If these two tubes represent the diagnals of the kite, how many square inches of paper will she need to make the kite?
Cassie is making a kite for her little brother. She has two plastic tubes to use as the skeleton, measuring
Tap to reveal answer
To find the area of a kite, use the formula , where represents one diagnal and represents the other.
Since Cassie has one tube measuring inches, we can substitute for . We can also substitute the other tube that measures inches in for .
To find the area of a kite, use the formula
Since Cassie has one tube measuring
← Didn't Know|Knew It →
Two diagonals of a kite have the lengths of and . Give the area of the kite.
Two diagonals of a kite have the lengths of
Tap to reveal answer
The area of a kite is half the product of the diagonals, i.e.
,
where and are the lengths of the diagonals.
The area of a kite is half the product of the diagonals, i.e.
where
← Didn't Know|Knew It →
In the following kite, , and . Give the area of the kite. Figure not drawn to scale.
In the following kite,
Tap to reveal answer
When you know the length of two unequal sides of a kite and their included angle, the following formula can be used to find the area of a kite:
,
where __are the lengths of two unequal sides, is the angle between them and is the sine function.
When you know the length of two unequal sides of a kite and their included angle, the following formula can be used to find the area of a kite:
where _
← Didn't Know|Knew It →
Find the area of a kite with one diagonal having length 18in and the other diagonal having a length that is half the first diagonal.
Find the area of a kite with one diagonal having length 18in and the other diagonal having a length that is half the first diagonal.
Tap to reveal answer
To find the area of a kite, we will use the following formula:
where p and q are the lengths of the diagonals of the kite.
Now, we know the length of one diagonal is 18in. We also know the other diagonal is half of the first diagonal. Therefore, the second diagonal has a length of 9in.
Knowing this, we can substitute into the formula. We get
To find the area of a kite, we will use the following formula:
where p and q are the lengths of the diagonals of the kite.
Now, we know the length of one diagonal is 18in. We also know the other diagonal is half of the first diagonal. Therefore, the second diagonal has a length of 9in.
Knowing this, we can substitute into the formula. We get
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