the length of a rectangle is 2 ft more than twice the width. The area is 84 ft^2. Find the lenght and width of the rectangle.

Answer 1

A = 84 = Lw = (2+2w)w =

2w^2 +2w = 84

divide by 2

w^2 +w -42 = 0 factor

= (w-6)(w+7) = 0 set each factor = 0, w-6=0, w = 6 ignore negative solution

w = 6 feet wide

L = 2+2w = 2+12=14 feet Long

6x14=84 ft^2=Area