what is the width of the frame

Question

A rectangular painting measures 14 inches by 19 inches and contains a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting and its frame is 98 inches. Determine the width of the frame.

Answer 1

Draw and label a diagram!

2(19 + 2w + 14 + 2w) = 98

4w + 34 = 49

4w = 15

w = 3.75

Answer 2

The difficult thing to remember is that the uniform frame adds to the length on each end and the width of each end, so a 1-inch frame adds 2 inches to both the length and the width, or 4 inches to the perimeter.

The perimeter of the painting is 2(14) + 2(19) = 66 inches.

66 + 4f = 98

4f = 32

f = 8 in

Holy cow, that's a thick frame!