Question

The length of a rectangle is 12 inches more than its width. The perimeter is 280 inches. Find the length and the width of the rectangle.

Answer 1

width = 64 inches

lenght = 76 inches

Explanation:

2(x + 12) + 2x = 280

2x + 24 + 2x = 280

4x = 280 - 24

4x = 256

x = 256/4

x = 64

Answer 2

use the equation p=2l+2w and sub everything in to get 280=2l+2(l+12).
distribute the 2 for 280=2l+2l+24.
add/subtract like terms over, leaving you with 256=4l.
divide the 4 from 256, resulting in l=64.
since w=l+12, add 12 to 64 to find that w=76.
basically, l=64 and w=76.
hope this helps!