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geometry intermediate

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
problem
(A)
(B)
(C)
(D)
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
Final answer
C