Area - squares and rectangles

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

Unusual quadrilateral

Age
14 to 16
Challenge level
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This quadrilateral has an unusual shape. Are you able to find its area?
My New Patio
problem

My new patio

Age
7 to 11
Challenge level
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What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
Symmetric Angles
problem

Symmetric angles

Age
14 to 16
Challenge level
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This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?
Paper Halving
problem

Paper halving

Age
5 to 11
Challenge level
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In how many ways can you halve a piece of A4 paper? How do you know they are halves?
From One Shape to Another
article

From one shape to another

Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.
Exploration versus Calculation
article

Exploration versus calculation

This article, written for teachers, discusses the merits of different kinds of resources: those which involve exploration and those which centre on calculation.