Equable Shapes Worksheet

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?


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!