ACT Math : Kites

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #281 : Act Math

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, though, that  does not appear as an answer choice. Thus, convert  into  by:


Example Question #13 : 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:

 





Note: the correct solution can also be found by: 

Example Question #291 : Geometry

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 length of , each of these two sides must have one equivalent side.

The perimeter of this kite can be found by applying the formula:

 



Example Question #1 : How To Find The Area Of A Kite

Find the area of a kite with the diagonal lengths of  and .

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the area of a kite.  Substitute the diagonals and solve.

Example Question #332 : Advanced Geometry

Find the area of a kite with diagonal lengths of  and .

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #1 : How To Find The Area Of A Kite

Find the area of a kite if one diagonal is  long, and the other diagonal is  long.

Possible Answers:

Correct answer:

Explanation:

The formula for the area of a kite is 

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

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