Elementary Algebra

Question

The length of a rectangle is 2ft more than twice the width. The area is 180ft^2 find the length and the width of the rectangle.

Answer 1

180 = LW = (W+2)W = W^2 +2W

W^2 + 2W = 180

complete the square

W^2 +2W + 1 = 180 +1

(W+1)^2 = 181

W+1 = sqr181 = about 13.45

W = 12.45 feet wide

L= 14.45 feet long

12.45 x 14.45 = slightly over 179.9