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jmc

geometry junior

Problem

The diagram shows an octagon consisting of unit squares. The portion below is a unit square and a triangle with base . If bisects the area of the octagon, what is the ratio ?
problem
(A)
(B)
(C)
(D)
Solution
We see that half the area of the octagon is . We see that the triangle area is . That means that . Meaning,
Final answer
D