Area - squares and rectangles

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

problem

Favourite

The square under the hypotenuse

Age

14 to 16

Challenge level

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

problem

Favourite

Completing quadrilaterals

Age

11 to 14

Challenge level

We started drawing some quadrilaterals - can you complete them?

problem

Favourite

Perimeter challenge

Age

11 to 14

Challenge level

Can you deduce the perimeters of the shapes from the information given?

problem

Favourite

Ribbon squares

Age

7 to 11

Challenge level

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

problem

Favourite

Shape draw

Age

7 to 11

Challenge level

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

problem

Favourite

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

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

Favourite

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

Favourite

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

Favourite

Different sizes

Age

5 to 11

Challenge level

A simple visual exploration into halving and doubling.

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For younger learners

Area - squares and rectangles

The square under the hypotenuse

Completing quadrilaterals

Perimeter challenge

Ribbon squares

Shape draw

Through the window

Dicey perimeter, dicey area

Fence it

Perimeter possibilities

Different sizes