Area and Perimeter

1. Area and Perimeter

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

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

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

5. The area of a shape is the amount of space inside it. To find out how much shape is inside we can count the squares. The area of the shape is 18cm2.

6. Counting each square can take a long time. Does anyone know a quicker way? The rectangle is made of 6 rows of 8 squares. To work out the number of squares we times 6 by 8. The area of the shape is 48cm2.

7. 18cm2 20cm2 What is the area of each of these shapes? Your teacher will give you copy of the worksheet. 30cm2 14cm2 22cm2

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

9. Now work out the area of these rectangles. They are not drawn to scale. 7cm 5cm 35cm2 4cm 5cm 20cm2 9cm 36cm2 12.5cm 4cm 25cm2 2cm

10. 4cm Total area = 40 + 32 = 72 cm2 2cm To find the area of this shape we have to split it up into two rectangles. 4cm Area = 4 x 10 10cm Area = 4 x 8 8cm 40cm2 32cm2 8cm A shape that is made from other shapes is known as a composite shape.

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

12. 5cm 2cm Area = 4 x 5 Area = 5 x 9 4cm 9cm 5cm 20cm2 45cm2 4cm 2cm 5cm Total area = 45 + 20 = 65 cm2 Perimeter = 36 cm

13. 2cm 5cm 11cm 4cm 6cm 6cm Total area = 10 + 36 = 46 cm2 Perimeter = 34 cm Area = 2 x 5 Area = 6 x 6 10cm2 36cm2

14. Total area = 28 + 16 + 21 = 65 cm2 Perimeter = 42 cm There is another way of doing this question. Area = 4 x 7 Area = 4 x 4 28cm2 16cm2 4cm 3cm 3cm 3cm Area = 3 x 7 4cm 7cm 21cm2 7cm 11cm

15. Total area = 77 – 12 = 65 cm2 Perimeter = 42 cm Area = 3 x 4 12cm2 4cm 3cm 3cm 3cm 4cm 7cm 7cm Area = 7 x 11 77cm2 11cm

16. When you measure the amount of carpet to cover the floor of a room, you measure it in square units. ? Would the area of your bedroom or the area of your house be greater? ? You’re right! The area of your house is greater than the area of your bedroom.

17. Area Area is the amount of surface space that a flat object has. Area is reported in the amount of square units.

18. When you measure the amount of wallpaper border to go around a room, you measure it in lengths. ? Would the perimeter of your bedroom or the perimeter of your house be greater? ? You’re right! The perimeter of your house is greater than the perimeter of your bedroom.

19. Perimeter Perimeter is the distance around the outside edge of a flat object. Perimeter is reported as a total number of linear units.

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

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

22. 5cm 2cm 5cm 4cm 11cm 6cm 6cm 2cm w o r k s h e e t f o u r 4cm 9cm 5cm 4cm 2cm 5cm 4cm 3cm 3cm 3cm 7cm 7cm 4cm 11cm

23. What is the area of the house? _____________________cm2 4cm What is the area of the compound shape? _____________________cm2 4cm 2cm 8cm What is the perimeter of the compound shape? _____________________cm 4cm 6cm