Solve the problem.
-A picture 13 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 805 square inches?
A) $7.5 \mathrm{in}$.
B) $5 \mathrm{in}$.
C) 6 in.
D) 7 in.

Question

Quizplus · Accepted Answer

The area of the picture is $13 \times 25 = 325$ square inches. The area of the mounted picture is 805 square inches, so the area of the mat alone is $805 - 325 = 480$ square inches. Let $x$ be the width of the border. The dimensions of the mounted picture are $13 + 2x$ by $25 + 2x$. So, $(13 + 2x)(25 + 2x) = 805$. Solving for $x$, we find $x = 5$ inches.

Solve the Problem 7.5in7.5 \mathrm{in}7.5in B) 5in5 \mathrm{in}5in C) 6 In Picture

Solve the Problem $7.5 \mathrm{in}$
B) $5 \mathrm{in}$
C) 6 In Picture