Area - squares and rectangles

There are 90 NRICH Mathematical resources connected to Area - squares and rectangles
Shape Draw
problem

Shape Draw

Age
7 to 11
Challenge level
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Use the information on these cards to draw the shape that is being described.
Through the Window
problem

Through the Window

Age
7 to 11
Challenge level
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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?
Fencing
problem

Fencing

Age
7 to 11
Challenge level
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Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Fence it
problem

Fence it

Age
11 to 14
Challenge level
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If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Perimeter Possibilities
problem

Perimeter Possibilities

Age
11 to 14
Challenge level
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I'm thinking of a rectangle with an area of 24. What could its perimeter be?
Different Sizes
problem

Different Sizes

Age
5 to 11
Challenge level
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A simple visual exploration into halving and doubling.
Tiles in the Garden
problem

Tiles in the Garden

Age
7 to 11
Challenge level
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How many tiles do we need to tile these patios?
Can they be equal?
problem

Can they be equal?

Age
11 to 14
Challenge level
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Can you find rectangles where the value of the area is the same as the value of the perimeter?
Changing areas, changing perimeters
problem

Changing areas, changing perimeters

Age
11 to 14
Challenge level
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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?