Question

MODELING WITH MATHEMATICS 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 45 feet and a width of 20 feet. The length of your new patio is 18 feet. Find the perimeters of your backyard and of the patio.
Backyard perimeter $=$
ft

Patio perimeter $=$
ft

Answer 1

Scale rate = 45÷20 = 2.25

patio width = 18÷2.25 = 8

perimeter of patio = 18*8 = 144 ft^2

perimeter of backyard = 45*20 = 900 ft^2