1) Let *A, B, C,* and *D* be vertices of a rectangle with length *a* units and height units.

2) Place the rectangle with vertex *A* at the origin, along the positive *x*-axis,

and along the *y*-axis. Label the vertices *A, B, C,* and *D*.

3) The y-coordinate of *B* is 0 because the vertex is on the *x*-axis.

Since the side length is *a*, the x-coordinate is *a*.

4) The vertex *D* is on the *y*-axis so the x-coordinate is 0.

Since the height is units, y-coordinate is .

5) The x-coordinate of C is also *a*.

Since the side is units long, the y-coordinate of *C* is .

The ractangle with length *a* units and height units is

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