Question

The expression (8x + 4) inches represents the perimeter of a rectangle whose width is (3x − 4) inches. Find the length of the rectangle if x = 2.

Answer 1

The length on each side of the rectangle is 8 inches.

Explanation:

(8(2)+4) = 20

(3(2) - 4) = 2

the perimeter, 20, minus the width, in total 4, is 16. 16 divided by 2 because there are 2 sides = 8.

Answer 2

8 inches

Explanation:

Since the formula for the perimeter of a rectangle is 2l+2w, you can plug in the known values to set up the following equation:

8x+4=2l+2(3x-4)

8(2)+4=2l+2(3(2)-4)

20=2l+4

2l=16

l=8 inches

Hope this helps!