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1960 AMC 12 Question 37

AMC12 · 1960 AMC 12

Question 37

The base of a triangle is of length $b,$ and the altitude is of length $h.$ A rectangle of height $x$ is inscribed in the triangle with the base of the rectangle in the base of the triangle. The area of the rectangle is:
  1. $\dfrac{bx}{h}(h-x)$
  2. $\dfrac{hx}{b}(b-x)$
  3. $\dfrac{bx}{h}(h-2x)$
  4. $x(b-x)$
  5. $x(h-x)$