carl is making the kite shown. it has a perimeter of 120 inches. the two longer sides of the kite are the…

carl is making the kite shown. it has a perimeter of 120 inches. the two longer sides of the kite are the same length. write an equation that could be used to find the length, x, of each of the longer sides. enter the correct answer in the box.

carl is making the kite shown. it has a perimeter of 120 inches. the two longer sides of the kite are the same length. write an equation that could be used to find the length, x, of each of the longer sides. enter the correct answer in the box.

Answer

Explanation:

Step1: Recall Kite Perimeter Formula

A kite has two pairs of adjacent sides equal. Let the shorter sides be ( 24 ) in, and the longer sides be ( x ). The perimeter ( P ) of a kite is ( P = 2a + 2b ), where ( a ) and ( b ) are the lengths of the two distinct sides.

Step2: Substitute Known Values

Given perimeter ( P = 120 ) in, shorter side ( a = 24 ) in, longer side ( b = x ). Substitute into the formula: ( 120 = 2(24) + 2x ). Simplify to ( 120 = 48 + 2x ) or rearranged as ( 2x + 48 = 120 ) (or equivalent forms like ( 2(x + 24)=120 )).

Answer:

( 2x + 48 = 120 ) (or equivalent, e.g., ( 2(x + 24) = 120 ), ( 24 \times 2 + 2x = 120 ))