Year 4 Maths — Area by counting squares
Measure the area of a shape on squared paper by counting the squares it covers, including half squares.
Name: ________________________
Before you start
Three shapes sit on the same grid of squares. Count the squares under each one and compare what you find with how big each shape looks.
- 1. Shape A
- 2. Shape B
- 3. Shape C
Shape B is the tallest and Shape C is the widest, but neither of those is what decides the area — only the count of squares does.
1.Two shapes look completely different, but each covers 12 squares. What can you say about them?
- a) You cannot compare their areas
- b) Their areas are the same
- c) The taller one has the larger area
- d) The wider one has the larger area
2.A rectangle on squared paper is 9 squares across and 5 squares down. How many squares does it cover?
3.Match each rectangle to the number of squares it covers.
- 2 across and 3 down
- 3 across and 3 down
- 4 across and 5 down
- 6 across and 6 down
- 9
- 36
- 20
- 6
4.A rectangle on squared paper is 7 squares across and 4 squares down. How many squares does it cover?
5.A shape drawn on squared paper covers 8 full squares in its upper part and 6 full squares in its lower part. What is its area, in squares?
6.An L-shape is made of a rectangle 5 squares by 3 squares joined to a rectangle 2 squares by 2 squares. How many squares does it cover altogether?
7.A rectangle covers 24 squares and is 6 squares across. How many squares tall is it?
8.Which rectangle covers the most squares?
- a) 2 across and 8 down
- b) 3 across and 6 down
- c) 4 across and 4 down
- d) 5 across and 3 down
Answer key — Year 4 Maths — Area by counting squares
- 1. b) Their areas are the same
- 2. 45
- 3. 2 across and 3 down → 6; 3 across and 3 down → 9; 4 across and 5 down → 20; 6 across and 6 down → 36
- 4. 28
- 5. 14
- 6. 19
- 7. 4
- 8. b) 3 across and 6 down