Problem:
A rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. The photograph measures inches high and inches wide. What is the area of the border, in square inches?
Answer Choices:
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Solution:
The width of the frame is inches, and its height is inches. It encloses an area of square inches. The photograph occupies square inches of that area, so the area of the border itself is square inches.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions