Solve the problem.
-A picture 21 inches by 25 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the mounted picture is 1085 square inches?
A) 7 in.
B) 6 in.
C) 5 in.
D) $7.5 \mathrm{in}$.

Question

Quizplus · Accepted Answer

The area of the picture is 21 inches * 25 inches = 525 square inches. The area of the mounted picture is 1085 square inches. The difference between these areas is the area of the mat, which is 1085 - 525 = 560 square inches. Let x be the width of the border. The dimensions of the mounted picture would then be (21 + 2x) by (25 + 2x). The equation for the area of the mounted picture is (21 + 2x)(25 + 2x) = 1085. Simplifying, we find that x = 5 inches.

Solve the Problem 7.5in7.5 \mathrm{in}7.5in

Solve the Problem $7.5 \mathrm{in}$