The expression 2(l+w) may be used to find the perimeter of a rectangle. What are the length and width of a rectangle if the area is 13 1/2 square units and the length of one side is 1/5 the measure of the perimeter?

Answer 1

"the length of one side is 1/5 the measure of the perimeter" --> l = (1/5(2(l+w))
5l = 2l + 2w
3l = 2w
l = 2w/3

lw = 13.5
(2w/3)(w) = 13.5
w^2 = 20.25
w = sqrt(20.25) = 4.5
then l = 3