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jmc

geometry junior

Problem

Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at the midpoints of the sides. How do the shaded areas of these squares compare?
problem
(A)
(B)
(C)
(D)
Solution
Square II clearly has shaded. Partitioning square I into eight right triangles also shows of it is shaded. Lastly, square III can be partitioned into sixteen triangles, and because four are shaded, of the total square is shaded. .
Final answer
A