ACT Math : How to find the perimeter of kite

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #1 : How To Find The Perimeter Of 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?

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #41 : Kites

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?

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the perimeter of the kite.

Substitute the lengths and solve for the perimeter.

Example Question #42 : Kites

A kite has a side length of  and another side length of . Find the perimeter of the kite.

Possible Answers:

Correct answer:

Explanation:

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:  

Example Question #2 : How To Find The Perimeter Of Kite

A kite has a side length of  and another side length that is twice as long. Find the perimeter of the kite.

Possible Answers:

Correct answer:

Explanation:

 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: 

Example Question #3 : How To Find The Perimeter Of Kite

Kite vt act

Using the kite shown above, find the perimeter measurement.

Possible Answers:

Correct answer:

Explanation:

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: 




Example Question #283 : Plane Geometry

Kite vt act

Using the kite shown above, find the perimeter measurement.

Possible Answers:

Correct answer:

Explanation:

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: 

Example Question #43 : Quadrilaterals

Kite vt act

Using the kite shown above, find the perimeter measurement.

Possible Answers:

Correct answer:

Explanation:

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: 

Example Question #4 : How To Find The Perimeter Of Kite

Kite vt act

Using the kite shown above, find the perimeter measurement. 

Possible Answers:

Correct answer:

Explanation:

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:  

Example Question #5 : How To Find The Perimeter Of Kite

A kite has a side length of  and another side length of . Find the perimeter of the kite.

Possible Answers:

Correct answer:

Explanation:

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:  

Example Question #6 : How To Find The Perimeter Of Kite

A kite has a side length of and another side length of . Find the perimeter of the kite.

Possible Answers:

Correct answer:

Explanation:

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:  

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