### Squared rectangle

#### by David Radcliffe

The picture shows a rectangle that has been subdivided into nine squares. The area of the smallest square is 1. Can you find the areas of the other squares?

**Addendum:** Anna Blinstein informs me that she has used this problem with great success as an end-of-year project for Algebra 1. Squared rectangles also make an appearance in the Exeter math problem sets.

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All of the squared rectangles can be generated at http://www.squaring.net/sq/sr/sr.html. I usually use Geometer’s Sketchpad to make my diagrams, and since I want them to appear to scale, it takes quite a while. Any suggestions for how to make them faster?