The length of rectangular picture is 2 times as long as the width.

Question

The length of rectangular picture is 2 times as long as the width. If the area of the picture is 162 square inches, find the length and width of the picture.

Answer 1

Let w = the width

Let 2w = the length

A = lw

162 = 2w(w)

162 = 2w²

81 = w²        Take the square root of both sides

9 inches = w

length = 2(9) = 18 inches