Area - squares and rectangles

There are 91 NRICH Mathematical resources connected to Area - squares and rectangles
Wallpaper
problem
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Wallpaper

Age
5 to 7
Challenge level
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These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

Tilted Squares
problem
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Tilted squares

Age
11 to 14
Challenge level
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It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Growing Rectangles
problem
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Growing rectangles

Age
11 to 14
Challenge level
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What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Making Boxes
problem
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Making boxes

Age
7 to 11
Challenge level
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Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Making Rectangles
problem
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Making rectangles

Age
7 to 14
Challenge level
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A task which depends on members of the group noticing the needs of others and responding.

Compare Areas
problem
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Compare areas

Age
14 to 16
Challenge level
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Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?
Area and perimeter
problem
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Area and perimeter

Age
7 to 11
Challenge level
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What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Shaping It
problem
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Shaping it

Age
5 to 11
Challenge level
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These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
Place your orders
problem
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Place your orders

Age
11 to 14
Challenge level
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Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Numerically Equal
problem
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Numerically equal

Age
7 to 11
Challenge level
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Can you draw a square in which the perimeter is numerically equal to the area?