Difference between revisions of "2012 AMC 8 Problems/Problem 6"
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Revision as of 16:34, 3 July 2013
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 8 inches high and 10 inches wide. What is the area of the border, in square inches?
Solution
In order to find the area of the border, we need to subtract the area of the photograph from the area of the photograph and the frame. Right off the bat, we can see that the area of the photograph is 
square inches. The dimensions of the whole frame (including the photograph) would be 
by 
. Therefore, the area of the photograph and frame would be 
square inches. Subtracting the area of the photograph from the area of both the frame and photograph, we find the answer to be 
.
See Also
| 2012 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
