1994 AHSME Problems/Problem 8
Problem
In the polygon shown, each side is perpendicular to its adjacent sides, and all 28 of the sides are congruent. The perimeter of the polygon is . The area of the region bounded by the polygon is
Solution
Since the perimeter is and all of the sides are congruent, the length of each side is . We break the figure into squares as shown below.
We see that there are a total of squares with side length . Therefore, the total area is
--Solution by TheMaskedMagician
See Also
1994 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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