This document discusses calculating the areas and perimeters of various shapes. It provides examples of finding the perimeter by counting sides and finding the area by counting squares for both regular and irregular shapes. It also introduces calculating the area of rectangles using the formula of length x width and calculating the total area of composite shapes by finding the individual areas and summing them.

1. Area and Perimeter

2. 8 cm 6 cm 8 cm 6 cm The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm. First we need to find he length of each side by counting the squares. The distance around the outside of a shape is called the perimeter.

3. What is the perimeter of each of these shapes? Your teacher will give you copy of the worksheet. 18cm 18cm 18cm 22cm 26cm

4. Now find the perimeter of these shapes. They are not drawn to scale. Perimeter = 18cm Perimeter = 22cm Perimeter = 28cm 3cm 3cm 3cm 3cm 3cm 3cm 5cm 7cm 7cm 3cm 4cm 4cm 4cm 4cm 3cm 3cm 3cm 3cm

5. The area of the shape is 18cm 2 . To find out how much shape is inside we can count the squares. The area of a shape is the amount of space inside it.

6. What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 12cm 2 26cm 2 26cm 2

7. To find the area of an irregular shape you first count the full squares inside it. This is an irregular shape. This means that the sides aren’t straight.

8. The area of the shape is 60cm 2 . You then count all the other squares which have more than half the area covered.

9. What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 24cm 2 25cm 2 22cm 2 35cm 2

10. The area of the shape is 48cm 2 . The rectangle is made of 6 rows of 8 squares. To work out the number of squares we times 6 by 8. Counting each square can take a long time. Does anyone know a quicker way?

11. What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 20cm 2 18cm 2 14cm 2 30cm 2 22cm 2

12. We can work out the area of a rectangle without the grid. length width Area = length x width

13. Now work out the area of these rectangles. They are not drawn to scale . 36cm 2 35cm 2 20cm 2 25cm 2 4cm 9cm 7cm 5cm 5cm 4cm 2cm 12.5cm

14. A shape that is made from other shapes is known as a composite shape. To find the area of this shape we have to split it up into two rectangles. 10cm 8cm 8cm 2cm 4cm 4cm Area = 4 x 10 40cm 2 Area = 4 x 8 32cm 2 Total area = 40 + 32 = 72 cm 2

15. Find the area and perimeter of each of these shapes? Your teacher will give you copy of the worksheet. 9cm 5cm 5cm 2cm 4cm 5cm 4cm 2cm 11cm 7cm 4cm 3cm 3cm 3cm 7cm 4cm 6cm 6cm 11cm 2cm 4cm 5cm

16. 9cm 5cm 5cm 2cm 4cm 5cm 4cm 2cm Area = 5 x 9 45cm 2 Area = 4 x 5 20cm 2 Total area = 45 + 20 = 65 cm 2 Perimeter = 36 cm

17. Area = 2 x 5 10cm 2 Area = 6 x 6 36cm 2 Total area = 10 + 36 = 46 cm 2 Perimeter = 34 cm 6cm 6cm 11cm 2cm 4cm 5cm

18. 11cm 7cm 4cm 3cm 3cm 3cm 7cm Total area = 28 + 16 + 21 = 65 cm 2 Perimeter = 42 cm Area = 4 x 7 Area = 4 x 4 4cm Area = 3 x 7 21cm 2 28cm 2 16cm 2 There is another way of doing this question.

19. 11cm 7cm 4cm 3cm 3cm 3cm 7cm Total area = 77 – 12 = 65 cm 2 Perimeter = 42 cm Area = 7 x 11 Area = 3 x 4 4cm 77cm 2 12cm 2

20. Well Done

21. w o r k s h e e t o n e

22. w o r k s h e e t t w o

23. w o r k s h e e t t h r e e

24. 9cm 5cm 5cm 2cm 4cm 5cm 4cm 2cm 11cm 7cm 4cm 3cm 3cm 4cm 3cm 7cm w o r k s h e e t f o u r 6cm 6cm 11cm 2cm 4cm 5cm

25. Review What is the area of the moon? _____________________cm 2 What is the area of the rectangle? _____________________cm 2 What is the perimeter of the rectangle? _____________________cm Name:____________________

26. 4cm 4cm 4cm 6cm 8cm 2cm What is the area of the compound shape? _____________________cm 2 What is the perimeter of the compound shape? _____________________cm What is the area of the house? _____________________cm 2