Problema Solution

If 90 feet of fencing is required to enclose a rectangular service yard whose width is two thirds is length , what are the dimensions of the yard?

Answer provided by our tutors

let


w = the width of the rectangular service yard and w>0

l = the length of the rectangular service yard and l>0


width is two thirds is length


w = (2/3)*l


90 feet of fencing is required to enclose a rectangular service yard


2*(w + l) = 90


by solving the system of equations


w = (2/3)*l

2*(w + l) = 90


we find


l = 27 ft


w = 18 ft


the dimensions of the yard are 27 ft and 18 ft.