Question

Nancy and Martin are making kites. The kites are similar figures. The side lengths of Nancy's kite are 16 inches, 16 inches, 24 inches, and 24 inches. The side lengths of Martin's kite are (5x + 5) inches, (5x + 5) inches, 10x inches, and 10x inches. Assume that 10x > 5x + 5. Find the perimeter of Martin's kite.​

Answer 1

Answer: 100 inches

Explanation:

Corresponding sides of similar figures have proportional side lengths, so:

`(10x)/(24)=(5x+5)/(16) \\\\(2x)/(24)=(x+1)/(16)\\\\(x)/(12)=(x+1)/(16)\\\\16x=12x+12\\\\4x=12\\\\x=3\\\\`

So, the perimeter is
`5x+5+5x+5+10x+10x=100`.