Geometry

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:

a) $\frac{bx}{h}(h-x)$     b) $\frac{hx}{b}(b-x)$     c) $\frac{bx}{h}(h-2x)$     d) $x(b-x)$     e) $x(h-x)$