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Printjmc
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 56. Find the area of the polygon.
Solution
We can divide the polygon into 25 squares.
Let the side length of each square be . Then the perimeter of the polygon is , so . Hence, the area of the polygon is .
Let the side length of each square be . Then the perimeter of the polygon is , so . Hence, the area of the polygon is .
Final answer
100