a kite has a perimeter of 108 feet. one of the longer sides measures 30 feet. what are the lengths of the…

Explanation:

Step1: Recall kite - side property

A kite has two pairs of adjacent sides that are equal. Let the length of the longer side be $a = 30$ feet. Let the length of the other non - equal side be $b$.

Step2: Use perimeter formula

The perimeter $P$ of a kite is $P=2a + 2b$. We know that $P = 108$ feet and $a = 30$ feet. Substitute these values into the formula: $108=2\times30 + 2b$.

Step3: Solve for $b$

First, simplify the right - hand side of the equation: $108 = 60+2b$. Then subtract 60 from both sides: $108 - 60=2b$, so $48 = 2b$. Divide both sides by 2: $b = 24$ feet. So the lengths of the other three sides are 24 feet, 24 feet, 30 feet.

Answer:

A. 24 feet, 24 feet, 30 feet