How to work out an area

Part ofMathsArea and volumeYear 5

Calculating area

Area is the amount of space taken up by a 2D shape.

When you want to measure the space on a wall, floor or a piece of paper, you are measuring area.

Area can be measured in square centimetres (cm²) and square metres (m²).

If you know the width and height of a rectangle, you can split it into squares and count them, to figure out its area.

You can also work out the area by multiplying the width and height together.

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Activity: How to work out an area

Complete this interactive activity to understand how to work out an area. Then put your knowledge to the test.

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Counting or multiplying to find the area

To work out the area of a rectangle, you must know the width and height.

A rectangle with a width of 8cm and 2cm

This rectangle has a width of 8cm and a height of 2cm.

You can then split the rectangle into squares and count them to discover its area.

The rectangle split into 16 squares. Two rows of 8 squares.

You can see that this rectangle contains 2 rows of 8 squares. That is 16 squares in total.

You can also find the area of a rectangle by multiplying the width and height together.

A rectangle containing the calculation 8cm multiplied by 2cm equals 16 cm cubed.

The area of this rectangle is:

8cm × 2cm = 16cm²

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Example 1

A rectangle with arrows across the top and sides. The width measures 7m and the height 3m.

What is the area of this shape?

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Example 2

T shape of 2 rectangles joined together, with double ended arrows to show measurements of each length. Across the top of the shape is 8cm, the height of the 'T' section is 2cm, the width of the stem section of the 'T' shape is 4cm and the height of the entire shape ('T' and stem together is 4cm.

What is the area of this shape?

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Example 3

A rectangle with double ended arrows on one long and one short side. The long side shows it measures 3m and the short side shows ? m.

The area of this rectangle is 24m². What is the width?

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Play our fun maths game Guardians: Defenders of Mathematica. game

Use your times tables and more maths skills to defeat monsters and reclaim the Kingdom of Mathematica

Play our fun maths game Guardians: Defenders of Mathematica
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More on Area and volume

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