Question

A 5 inch x 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

Perimeter = 28 + 8x inches

Explanation:

Length of the photograph = 7 inches

Width of the photograph = 5 inches

Both the length and width of the frame are 2x inches larger than the width and length of the photograph.

Length of the frame = 7 inches + 2x inches

Width of the frame = 5 inches + 2x inches

Perimeter of the frame = 2(Length + width)

= 2{(7+2x) + (5+2x)}

= 14 + 4x + 10 + 4x

= 28 + 8x inches

Perimeter = 28 + 8x inches