2000 PMWC Problems/Problem T3
Revision as of 18:57, 30 January 2023 by Megaboy6679 (talk | contribs)
Problem
In the figure, is a square, , , , and are midpoints of the sides , , and respectively. Find the ratio of the shaded area to the area of the square .
Solution
Rotate the four smallest triangles around their corresponding midpoints, so that there will be squares, which is shaded. Since the area didn't change, the ratio of the shaded area to the area of square ABCD is