Area - squares and rectangles

problem
Shape draw

Age

7 to 11

Challenge level

Use the information on these cards to draw the shape that is being described.
problem
Through the window

Age

7 to 11

Challenge level

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?
game
Favourite

Dicey perimeter, dicey area

Age

7 to 11

Challenge level

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
problem
Fencing

Age

7 to 11

Challenge level

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
problem
Fence it

Age

11 to 14

Challenge level

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
problem
Perimeter possibilities

Age

11 to 14

Challenge level

I'm thinking of a rectangle with an area of 24. What could its perimeter be?
problem
Different sizes

Age

5 to 11

Challenge level

A simple visual exploration into halving and doubling.
problem
Tiling into slanted rectangles

Age

7 to 11

Challenge level

A follow-up activity to Tiles in the Garden.
problem
Tiles in the garden

Age

7 to 11

Challenge level

How many tiles do we need to tile these patios?
problem
Can they be equal?

Age

11 to 14

Challenge level

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