Area - squares and rectangles

There are 90 NRICH Mathematical resources connected to Area - squares and rectangles
The square under the hypotenuse
problem

The square under the hypotenuse

Age
14 to 16
Challenge level
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Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
Completing Quadrilaterals
problem

Completing Quadrilaterals

Age
11 to 14
Challenge level
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We started drawing some quadrilaterals - can you complete them?
11x11 square
problem

11x11 square

Age
11 to 16
Challenge level
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Here's a neat trick you can do with an 11 by 11 square...
Perimeter Challenge
problem

Perimeter Challenge

Age
11 to 14
Challenge level
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Can you deduce the perimeters of the shapes from the information given?
Ribbon Squares
problem

Ribbon Squares

Age
7 to 11
Challenge level
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What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
Cover the tray
problem

Cover the tray

Age
7 to 11
Challenge level
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These practical challenges are all about making a 'tray' and covering it with paper.