Area - squares and rectangles

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

A task which depends on members of the group noticing the needs of others and responding.

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

Can you find rectangles where the value of the area is the same as the value of the perimeter?