Question

The perimeter of a rectangle is 40 m. The length is 2 m more than two times the width. Find the length and the width of the rectangle.

Answer 1

Length is 14

Width is 6

Explanation:

Length = 2W + 2

Width = W

Perimeter is twice the length + twice the width

P = 40 = 2(2W+2) + 2W first simplify

40 = 4W + 4 + 2W now combine terms

40 = 6W + 4 and subtract 4 from both sides

36 = 6W

Width W = 6

Length = 2W + 2 = 12 + 2 = 14