Solve.
-A picture 18 inches by 24 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 border is 520 square inches?
A)7.5 in
B)5 in
C)6 in
D)7 in

Question

Quizplus · Accepted Answer

The area of the picture is 18 * 24 = 432 square inches. The total area including the border is 432 + 520 = 952 square inches. Let x be the width of the border. The dimensions of the matboard will be (18 + 2x) by (24 + 2x). The equation is (18 + 2x)(24 + 2x) = 952. Solving for x gives x = 5 inches.

Solve. -A Picture 18 Inches by 24 Inches Is to Be