Question

A 5inch 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?

4x+12
8x+24
2x^2+24
4x^2+24x+35

Answer 1

8x + 24

Explanation:

Given photograph length L = 7" and width W = 5"

Also that the frame is 2x" longer and 2x" wider

hence,

new length = ( 7 + 2x) inches

new width= ( 5 + 2x) inches

Hence perimeter of frame,

= 2 x ( new length + new width)

= 2 [( 7 + 2x) + ( 5 + 2x)]

= 2 (4x + 12)

= 8x + 24 (Answer)