question for homework

Question

Your family has decided to put a rectangular patio in your backyard similar to the shape of your backyard. Your backyard has a length of 50 feet and a width of 25 feet. The length of your new patio is 16 feet. Find the perimeter of your new patio.

Answer 1

Assuming that this is a proportion problem between the backyard and the new patio, we need to find the width of the new patio before we can find the perimeter.

To find the width of the new patio:

50/25=16/x

50x=400

x=8

So if the width of the new patio is 8, and the length is 16, the perimeter is:

p=8x2+16x2

p=16+32

p=48