Question

A rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. The photograph measures $8$ inches high and $10$ inches wide. What is the area of the border, in square inches?

$36$

$40$

$64$

$72$

$88$

Video solution:

Click to load, then click again to play

Written solution:

If we add $2$ inches on each side, we add $4$ inches total on both sides. This means that the dimensions of the outer part of the frame are $12 \times 14.$ The area of this is $12\cdot 14 = 168.$

However, we must take out the area of the inner part of the frame which has area $8 \cdot 10 =80.$

Therefore, the total area is $168-80=88.$

Thus, the answer is E .

2012 AMC 8 Problem 6

Video solution:

Written solution:

Problem 6 in Other Years