Question

Susan placed a picture in a frame. The picture is x inches wide. The pictures length is 2 inches greater than the width. The frame is 1 inch wide on all sides. The perimeter of the frame is 32 inches. Write an expression that represents the width of the frame.

Answer 1

x + 2

Explanation:

2 ( x + 2) + 2 (x + 4) = 32

2x + 4 + 2x + 8 = 32

4x + 12 = 32

4x = 32 – 12

4x = 20

x = 5

Width of picture = 5 inches

Length of picture (x + 2) = 7 inches

Length of frame = x + 2 + 2 = 9 inches

Width of frame = x + 2 = 7 inches