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The perimeter of a kite is 72 centimeters. The length of one of its sides is 24 centimeters more than half the length of another. Find the length of each side of the kite.​

Sagot :

Given two sides A and B

A + B = 72

A = B/2 + 24

B + B/2 + 24 = 72

B + B/2 = 48

3B = 96

B = 32

A = 32/2 + 24

A = 40

Therefore, the two lengths of the kite are 40 cm and 32 cm

Answer:

Each side of the kite is 18 cm long.

Step-by-step explanation: To find the length of one of the kite's sides, we need to know the length of the other side and the length of the kite's perimeter. We also know that the length of one side is 24 cm more than half the length of the other side.

We can use the following equation to find the length of one side:

L = P ÷ 2 + S

In this equation, L is the length of one side, P is the perimeter of the kite, and S is the length of the other side.

We can solve this equation for S:

S = L − (P ÷ 2)

Substituting in the values for L and P, we get:

S = 18-(72÷2)

S = 18 − 36

S = 18 − 36 S = −18

This means that the length of one side of the kite is 18 cm long.