### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

### Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

# Fence It

##### Stage: 3 Challenge Level:
Choose a length for your rectangle.
What must the width be if the fence is $40$m long?
What's the area?

What happens to the area when you change your chosen length?