1986 AJHSME Problems/Problem 13
Problem
The perimeter of the polygon shown is
Solution
Solution 1
You might have not seen this coming but there is a very simple way to do this. If we try to make a rectangle out of this, we have to take out both of the lines that are taking out part of the rectangle we want to make. but now we see that to finish the rectangle, we have to use those same irregular lines! So all we have to do is find the perimeter of the shape as if it would be a rectangle. After that, we get .
Solution 2
The perimeter of the requested region is the same as the perimeter of the rectangle with the dashed portion. This makes the answer
See Also
1986 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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All AJHSME/AMC 8 Problems and Solutions |
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