Which book needs more space?

The Atlas needs more space because it has a bigger surface.

Which shape needs more space?

The yellow one needs more space.

Which object needs more space?

The amount of surface covered by the blackboard is called the

area.

Blackboard Student’s desk

Which shape has the larger area?

Sometimes it is difficult to tell.So what do we need to do?

We can use small squares to cover small objects.

We can use sheets of newspaper to cover larger surfaces.

The area of the shape can be found by ticking the square as each one is counted.

How can we find the area of a shape which has been drawn on squared paper?

Area = _____ square units.

12

Area = _____ square units.

16

Area = _____ square units.

20

Area = _____ square units.

24

Find the area of these shapes.

Different shapes can have same area.

Shapes can be made up of whole squares and half squares.

Two halves make up one whole square.

Letter E has 15 wholewhole squares and 1 halfhalf square.

Area = 15 ½ square units

Letter A has: 14 wholewhole squares 2 halfhalf squares (2 halves make 1 whole square)

Area = 14 + 1 square units = 15 square units

This shape has: 20 wholewhole squares 12 halfhalf squares (2 halves make 1 whole square)

Area = 20 + 6 square units = 26 square units

12 half squares = 6 whole squares

Area = _____ square units.

___ whole squares + ___ half squares 22

20 4

Area = _____ square units.

___ whole squares + ___ half squares 16 6

19

Area of letters and shapes can be found by using the

nailboard.

To take measurements we can use the:

• metre ruler• measuring tape• trundle wheel• ruler

1 square represents 1 cm

Area = _____ square centimetres.

26

1 square represents 1 cm

Area = _____ square centimetres.

26 ___ whole squares + ___ half squares 24 4

1 square represents 1 cm

Area = _____ cm2. 26

Area= 6.5 cm x 4 cm = 26

cm2

length

bre

ad

th

Area = length x breadth

11 cm

7 c

m

Area = length x breadth = 11 cm x 7 cm

= 77 cm2

Length Breadth6cm 5cm5cm 4cm8cm 3cm9cm 4cm6cm 6cm20cm 8cm

30cm2

20cm2

24cm2

36cm2

36cm2

160cm2

Area

1 cm1 c

m

1 m

1 m

Area = 1cm x 1cm =

1cm2

Area = 1m x 1m= 1m2

Large surfaces are measured in m2

Old Trafford Stadium has a length of 150 metres and a width of 50 metres. What is the area of this football ground? 150m

50m

150m

50m

A field is 17m long and 15m wide. What is the area of the field?

17m

15m15m

17m

The diagonal divides the rectangle into 2 equal triangles.

10 cm

6 c

m

= ½ (area of rectangle)

Area of

10 cm

6 c

m

Area of rectangle = 60 cm2

Area of

Area of each triangle = 30 cm2

= ½ (length x breadth)

4 cm

7 c

m

AABB

8 cm5 c

m

CC

6 cm

10 c

m

40 cm40 cm22 30 cm30 cm2228 cm28 cm22

6 cm12 c

m

5 c

m

10 cm

AA

BB

4 cm5 c

mAA

Area of rectangle A = 5cm x 4cm = 20

cm2

Area of rectangle B = 10cm x 7cm = 70

cm2

10 cm7 c

m

BB

6 cm12 c

m

5 c

m10 cm

AA

BB

rectangle A = 20cm2 rectangle B = 70cm2 +

= 90cm2

area

5 cm

2 cm

11 c

m

8 c

m28 cm28 cm22

31 cm31 cm22

55 cm55 cm22

14 cm

22 cm

8

cm

16 c

m

BB

AA

AA

Area of rectangle A = 22cm x 16cm

= 352cm2

8

cm BB

Area of rectangle B = 14cm x 8cm

= 112cm2

14 cm

22 cm

8

cm

16 c

mBB

AA

Area of rectangle A = 352cm2 Area of rectangle B = 112cm2

-

Area of border

= 240cm2

A rectangular pond, 6m long and 4m wide, has a path 1.5m wide all around it. Find the area of this path.

PonPondd

4 m

6 m

1.5 m1.5 m

1.5

m1

.5 m

9m9m

77 mm

77 mm

9m9m

PonPondd

Area of rectangle = 9m x 7m

= 63m2

PonPondd

Area of pond = 6m x 4m

= 24m2

6m6m

44 mm

PonPondd

4 m

6 m

1.5 m1.5 m

1.5

m1

.5 m

9m

7m

Area of rectangle = 63m2 Area of pond

Area of path = 39m2

= 24m2 -