Question

A picture is 5 inches by 7 inches. There is a frame around the picture that is of uniform width. The area of the frame and the picture combined is 72 in2. How wide is the picture frame? Write an equation that you would use to solve for x, the width of the picture frame. A) (5 + x)(7 + x) = 72 B) (5 - x)(7 - x) = 72 C) (5 + 2x)(7 + 2x) = 72 D) (5 - 2x)(7 - 2x) = 72

Answer 1

C

Explanation:

The width of the picture and the frame together is 5 + 2x, and the length is 7 + 2x.

Answer 2

Suppose the length of the frame is x in
a] the length of the frame and picture:
7+2x
the width of the frame and the picture:
5+2x
thus the frame will be (5+2x) inches wide and the length will be (7+2x) inches


b] the area will be:
Area=length×width
A=(5+2x)(7+2x)
thus the equation that will be used to find the width of the frame is:
(5+2x)(7+2x)=72