Problema Solution

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 360 yards, what are it's dimensions?

Answer provided by our tutors

let


l = the length of the field

w = the width of the field


A rectangular athletic field is twice as long as it is wide:


l = 2w


the perimeter of the athletic field is 360 yards:


2(l + w) = 360 divide both sides by 2


l + w = 180


by solving the system of equations:


l = 2w

l + w = 180


we find


l = 120 yd


w = 60 yd


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the dimensions of the field are: the length is 120 yards and the width is 60 yards.