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jmc

geometry junior

Problem

In the figure, the area of square is . The four smaller squares have sides 1 cm long, either parallel to or coinciding with the sides of the large square. In , , and when is folded over side , point coincides with , the center of square . What is the area of , in square centimeters?
problem
(A)
(B)
(C)
(D)
Solution
We see that , the vertical distance between and is , and the vertical distance between and is . Therefore, . We are given that the length of the altitude of is equal to the distance between and , which is . So the area of is , which is .
Final answer
C