Question

A retangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 180 yards, what are its dimensions?

Answer 1

w= width
l= 2w= length

Perimeter of a Rectangle Formula
P= 2(l + w)
substitute 2w for l in equation

180= 2(2w + w)
multiply 2 by parentheses

180= 4w + 2w
combine like terms

180= 6w
divide both sides by 6

30 yards= w


LENGTH
2w= 2(30)= 60 yards

CHECK:
180= 30 + 60 + 30 + 60
180= 90 + 90
180= 180


ANSWER: the width is 30 yards and the length is 60 yards

Hope this helps! :)