## A Simpler Solution

[This is a back-issue of one of this site’s newsletters]

Last week, I emailed you a way to solve a simple math puzzle – how do you find a rectangle whose area equals its perimeter?

I took the puzzle, mixed in a little bit of algebra, and voila! A puzzle solution factory popped out, letting you generate rectangles from pythagorean triplets.

## Rectangles and Right Triangles

Can you find a rectangle whose perimeter equals its area?

I’ll explain one way to solve this puzzle below.

Allergy warning: this product contains algebra. May contain traces of number theory.

## Perimeter, Area and Volume

How long and wide must a rectangle be, for its area to equal its perimeter? Assume the width and length are whole numbers.

This is a nice little puzzle to let younger kids explore – if they find the puzzle as interesting or frustrating as I expect, they’ll remember the formulae for perimeter and area for the rest of their lives. For older kids, a bit of algebra gives the answer quickly.