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2009 AMC 12B Question 4

AMC12 · 2009 AMC 12B

Question 4

A rectangular yard contains two flower beds in the shape of congruent isosceles right triangles. The remainder of the yard has a trapezoidal shape, as shown. The parallel sides of the trapezoid have lengths $15$ and $25$ meters. What fraction of the yard is occupied by the flower beds?

Question illustration
  1. $\dfrac{1}{8}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{1}{5}$
  4. $\dfrac{1}{4}$
  5. $\dfrac{1}{3}$