** **

**Derive a formula for the area of this parallelogram in
terms of a only.**

**[Problem submitted by Don Hentschel, LACC Assistant
Professor of Mathematics.]� **

* *

** **

** **

** **

** **

**Solution:**

** **

**The formula for the area of a parallelogram is base times
height. We use the **

**Pythagorean theorem to find the height: h = _{}�= _{}. So **

**area = (base)(height) = (3 a)(_{}) = _{}square units.**