Question

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answer 1

B. 8x + 24

Explanation:

Answer on edge

Answer 2

(24 + 8x) inches

Explanation:

Length of the photograph = 7 inches

Width of the photograph = 5 inches

The border of the frame measure x-inches on all the sides, so this mean the dimensions of the frame would be:

Length of the frame = (7 + 2x) inches

Width of the frame = (5 + 2x) inches

Since the shape of the photograph frame is rectangular, the perimeter will be calculated as:

Perimeter = 2(Length + Width)

Using the values, we get:

Perimeter = 2(7 + 2x + 5 + 2x)

= 2 (12 + 4x)

= (24 + 8x) inches

Thus, the perimeter of the frame would be (24 + 8x) inches inches