Question

The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and width of the rectangle? A. length = 10 meters, width = 8 meters B. length = 8 meters, width = 6 meters C. length = 20 meters, width = 4 meters D. length = 14 meters, width = 12 meters

Answer 1

Explanation:

Formula

A = L * W

Givens

W = W

L = W + 2

Solution

Area = L*W

Area = (W+2)*W = 80 Remove the brackets.

Area = W^2 + 2W = 80 Subtract 80 from both sides.

Area = w^2+2W-80=80-80 Combine

Area = w^2 +2W-80 = 0 Factor.

Area = (w+10)(w - 8) = 0

W + 10 = 0 won't work

W = - 10 which isn't possible

W- 8 = 0

W = 8

L = 8 + 2 = 10

The answer looks like A