9
Extension

Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

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Page 1: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

Extension

Page 2: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

Calculate the area and perimeter of each of these shapes.

5cm

9cm

3cm

2cm

10cm

7cm

1cm

7cm

2cm

12cm13cm

12

3

Page 3: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

• Calculate the area and perimeter of the following:

12cm

5cm

13cm

8cm

10cm 11cm7cm

4cm

15cm13cm

Page 4: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

Area

• Area of a triangle = ½ x base x height

• Area of a parallelogram = base x perpendicular height

base

height

base

height

base

height

Page 5: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

4cm

5cm

6cm 8cm10cm

5cm

4cm9cm

7cm

10cm

8m 11m

9m

8m

C

1 23 4

5

10m15m

4m 5mA

B

D

9

3cm

4cm7cm

5cm

4cm3cm

2cm

5cm

3cm

4cm

2cm

5cm

7cm

7

8

6

10

Calculate the area of the following shapes. In Q9, calculate the shaded area.

11cm

Page 6: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

Area of Trapezia

Page 7: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

Trapezium

• Area = ½ (a + b) x h

• a and b are the parallel sides

• h is the perpendicular height between the two parallel sides

a

b

h

Page 8: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

Trapezium

• Example:

2cm

16cm

12cm14cm14cm

Area = ½ (a + b) x h

Area = ½ (2 + 16) x 12

Area = x 12

Area = 108cm2

18 2

Page 9: Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm 1 2 3

Trapezium

• Calculate the area and perimeter of these trapezia

15cm

9cm

11cm

7cm6cm5m

14m

7m

18m