In 2-4 sentences explain your answer to the following. The perimeter of a kite is 66 cm. The length of one of its sides is 3 cm less than twice the length of another. Find the length of each side of the kite.

1 answer

Let one side of the kite be \( x \) cm, and the other side be \( 2x - 3 \) cm. Since a kite has two pairs of equal sides, the perimeter can be expressed as \( 2x + 2(2x - 3) = 66 \). Simplifying this gives \( 6x - 6 = 66 \), leading to \( 6x = 72 \) and \( x = 12 \) cm. Therefore, one side is \( 12 \) cm and the other side is \( 2(12) - 3 = 21 \) cm.