Problem 59

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Problem 59: (2001 AMC10, 18;2001 AMC12, 10)

The plane is tiled by congruent squares and congruent pentagons as indicated. The percent of the plane that is enclosed by the pentagons is closest to $\text{(A) }50 \qquad$ $ \text{(B) }52 \qquad$ $ \text{(C) }54 \qquad$ $ \text{(D) }56 \qquad$ $ \text{(E) }58$

Solution

Exercise 59: Solution

The plane is tiled by congruent squares and congruent pentagons as shown. The squares are shaded. What percent of the plane is enclosed by the squares, to the nearest whole percent?

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