Use knowledge of area to solve problems in a range of contexts | Maths

Starter quiz

Match the pairs of numbers with a product 40.

5

⇔

8 ✓

1

⇔

40 ✓

4

⇔

10 ✓

2

⇔

20 ✓
Which of these shapes are compound shapes?

A

B ✓

C

D ✓
Look at this rectilinear compound shape. It is made up of 6 squares. Calculate the total area of the shape. A = ______ cm².

'54' ✓
This image is of the flag of Romania. It consists of three rectangles of equal size. Calculate the total area of one rectangle. A = ______ cm².

'48 ' ✓
Calculate the area of this compound rectilinear shape. A = ______ cm².

'73' ✓
Choose an efficient method to calculate the area of this compound shape. A = ______ cm².

'36' ✓

Exit quiz

This rectangle has an area of 30 cm². Match the dimensions that would give this area.

5 cm

⇔

6 cm ✓

10 cm

⇔

3 cm ✓

2cm

⇔

15cm ✓

1cm

⇔

30 cm ✓
The area of a rectangular carpet is 40 m². One dimension is 8 m. What is the other dimension? ______ m.

'5 ' ✓
Look at rectangles A and B. Which of the statements is correct?

The area of rectangle A is equal to the area of rectangle B.

The area of rectangle A is greater than the area of rectangle B. ✓

The area of rectangle B is greater than the area of rectangle A.
A square white paving slab has been placed on a square garden lawn. What is the area of lawn that can be seen? A = ______ m².

'364 ' ✓
A small square is shown inside a larger rectilinear shape. Choose an efficient method to calculate the area of the rectilinear shape. A = ______ cm².

'108' ✓
Choose an efficient method to calculate the area of the rectilinear shape. A = ______ cm²

'100 ' ✓

Worksheet

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Lesson Details

Key learning points

To find the area of a rectangle you multiply the length by the width.
Compare different methods to decompose shapes and decide which is the most efficient.
Choose the most efficient calculation strategies to calculate the area of a compound rectilinear shape.

Common misconception

Pupils may think that there is only one possible answer to some problems or only one way to solve a problem.

Discuss whether there is only one possible answer to a problem or if there are many solutions. Ensure that more than one approach to solving a problem is modelled where appropriate.

Keywords

Dimension - A dimension is a measure of length in one direction.