# Equable Shapes Worksheet

- Author:
- Dale Chapman

## Task 1

By adjusting the side length of the square in the applet below, can you find the square which has a

**perimeter**which is equal to it's**area**?## Equable Shapes

## Task 2

Zoom out on the applet
Pick another shape and see if you can repeat this exercise: find the size of the shapes for which the

**perimeter**is equal to the**area**. Do you notice any patterns?## Extension

Let's go back to the square.
Algebraically, what is the area and perimeter of the square?
If is the length of each side, then:
By setting these equal to each other, see if you can find

*algebraically*what square has a perimeter equal to it's area. Try this for the other shapes!