Problem 1

 

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) = (3a)() = square units.

- Last Updated: 12/10/08