### Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

### Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

Last year, on the television programme Antiques Roadshow... work out the approximate profit.

# Rough Rectangle

##### Age 14 to 16 Short Challenge Level:

Answer: 24.75 cm$^2$

$5.5\le$ length ("6 cm") $\lt 6.5$

$4.5\leq$ width ("5 cm") $\lt 5.5$

$\therefore$ smallest possible area is $5.5\times4.5=24.75$ cm$^2$

You can find more short problems, arranged by curriculum topic, in our short problems collection.