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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?




   Blackboard     Student’s desk

The amount of surface covered by
the blackboard is called the area.
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.
How can we find the area of a
shape which has been drawn
on squared paper?

The area of the shape
can be found by ticking
the square as each one
is counted.
12
Area = _____ square units.
16
Area = _____ square units.
20
Area = _____ square units.
24
Area = _____ square units.
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
   whole squares and
   1 half square.


Area = 15 ½ square units
Letter A has:
           14 whole squares
           2 half squares
           (2 halves make 1 whole square)




Area = 14 + 1 square units
     = 15 square units
This shape has:
  20 whole squares
  12 half squares
  (2 halves make 1 whole square)


   12 half squares = 6 whole squares



Area = 20 + 6 square units
     = 26 square units
20                  4
___ whole squares + ___ half squares

          22
  Area = _____ square units.
16                  6
___ whole squares + ___ half squares

          19
  Area = _____ square units.
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

         26
Area = _____ square centimetres.
1 square represents 1 cm

  24                  4
 ___ whole squares + ___ half squares
        26
Area = _____ square centimetres.
Area= 6.5 cm x 4 cm
                       = 26 cm2


1 square represents 1 cm



          26
  Area = _____ cm2.
length
    breadth




Area = length x breadth
11 cm


  7 cm




Area = length x breadth
         = 11 cm x 7 cm
         = 77 cm2
Length   Breadth    Area
 6cm      5cm       30cm2
 5cm      4cm       20cm2
 8cm      3cm       24cm2
 9cm      4cm       36cm2
 6cm      6cm       36cm2
 20cm     8cm      160cm2
1 cm
                    Area = 1cm x 1cm
      1 cm




                         = 1cm2
        1 m
                    Area = 1m x 1m
1 m




                         = 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                 50m




         150m
A field is 17m long and
15m wide. What is the
area of the field?
           17m




  15m                15m




            17m
6 cm
            10 cm

The diagonal divides the rectangle
     into 2 equal triangles.
Area of    = ½ (area of rectangle)
6 cm
             10 cm
Area of rectangle = 60 cm2
Area of each triangle = 30 cm2
Area of    = ½ (length x breadth)
4 cm

                     8 cm




                                       10 cm
       A
7 cm




                       B
              5 cm


                                  C

                                6 cm


 28 cm2              40 cm2   30 cm2
A


              5 cm
12 cm



                     6 cm



              B

            10 cm
5 cm
             A

           4 cm

Area of rectangle A = 5cm x 4cm
                    = 20 cm2
10 cm



                B
     7 cm




Area of rectangle B = 10cm x 7cm
                      = 70 cm2
rectangle A = 20cm2
                     + rectangle B = 70cm2
        A
              5 cm
                       area        = 90cm2
12 cm




                     6 cm



              B

            10 cm
5 cm

                      28 cm2
11 cm




                      31 cm2
               8 cm




                      55 cm2
        2 cm
22 cm
               14 cm
16 cm

        8 cm



                B


                A
A




Area of rectangle A = 22cm x 16cm
                    = 352cm2
8 cm

                B



Area of rectangle B = 14cm x 8cm
                    = 112cm2
22 cm
                   14 cm

    16 cm
            8 cm
                    B


                    A
  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.
                 9m
                  6 m



                                1.5 m
       4 m




                Pond
  7m




                        1.5 m
9m




            Pond
7m




 Area of rectangle = 9m x 7m
                   = 63m2
6m

4m



         Pond


Area of pond = 6m x 4m
            = 24m2
9m
                6 m



       4 m
                              1.5 m
               Pond
  7m




                      1.5 m
  Area of rectangle = 63m2
- Area of pond      = 24m2
  Area of path      = 39m2
Area

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Area

  • 1.
  • 2. Which book needs more space? The Atlas needs more space because it has a bigger surface.
  • 3. Which shape needs more space? The yellow one needs more space.
  • 4. Which object needs more space? Blackboard Student’s desk The amount of surface covered by the blackboard is called the area.
  • 5. Which shape has the larger area? Sometimes it is difficult to tell. So what do we need to do?
  • 6. We can use small squares to cover small objects. We can use sheets of newspaper to cover larger surfaces.
  • 7. How can we find the area of a shape which has been drawn on squared paper? The area of the shape can be found by ticking the square as each one is counted.
  • 8. 12 Area = _____ square units.
  • 9. 16 Area = _____ square units.
  • 10. 20 Area = _____ square units.
  • 11. 24 Area = _____ square units.
  • 12. Find the area of these shapes. Different shapes can have same area.
  • 13. Shapes can be made up of whole squares and half squares. Two halves make up one whole square.
  • 14. Letter E has 15 whole squares and 1 half square. Area = 15 ½ square units
  • 15. Letter A has: 14 whole squares 2 half squares (2 halves make 1 whole square) Area = 14 + 1 square units = 15 square units
  • 16. This shape has: 20 whole squares 12 half squares (2 halves make 1 whole square) 12 half squares = 6 whole squares Area = 20 + 6 square units = 26 square units
  • 17. 20 4 ___ whole squares + ___ half squares 22 Area = _____ square units.
  • 18. 16 6 ___ whole squares + ___ half squares 19 Area = _____ square units.
  • 19. Area of letters and shapes can be found by using the nailboard.
  • 20. To take measurements we can use the: • metre ruler • measuring tape • trundle wheel • ruler
  • 21. 1 square represents 1 cm 26 Area = _____ square centimetres.
  • 22. 1 square represents 1 cm 24 4 ___ whole squares + ___ half squares 26 Area = _____ square centimetres.
  • 23. Area= 6.5 cm x 4 cm = 26 cm2 1 square represents 1 cm 26 Area = _____ cm2.
  • 24. length breadth Area = length x breadth
  • 25. 11 cm 7 cm Area = length x breadth = 11 cm x 7 cm = 77 cm2
  • 26. Length Breadth Area 6cm 5cm 30cm2 5cm 4cm 20cm2 8cm 3cm 24cm2 9cm 4cm 36cm2 6cm 6cm 36cm2 20cm 8cm 160cm2
  • 27. 1 cm Area = 1cm x 1cm 1 cm = 1cm2 1 m Area = 1m x 1m 1 m = 1m2 Large surfaces are measured in m2
  • 28. 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 50m 150m
  • 29. A field is 17m long and 15m wide. What is the area of the field? 17m 15m 15m 17m
  • 30. 6 cm 10 cm The diagonal divides the rectangle into 2 equal triangles. Area of = ½ (area of rectangle)
  • 31. 6 cm 10 cm Area of rectangle = 60 cm2 Area of each triangle = 30 cm2 Area of = ½ (length x breadth)
  • 32. 4 cm 8 cm 10 cm A 7 cm B 5 cm C 6 cm 28 cm2 40 cm2 30 cm2
  • 33. A 5 cm 12 cm 6 cm B 10 cm
  • 34. 5 cm A 4 cm Area of rectangle A = 5cm x 4cm = 20 cm2
  • 35. 10 cm B 7 cm Area of rectangle B = 10cm x 7cm = 70 cm2
  • 36. rectangle A = 20cm2 + rectangle B = 70cm2 A 5 cm area = 90cm2 12 cm 6 cm B 10 cm
  • 37. 5 cm 28 cm2 11 cm 31 cm2 8 cm 55 cm2 2 cm
  • 38. 22 cm 14 cm 16 cm 8 cm B A
  • 39. A Area of rectangle A = 22cm x 16cm = 352cm2
  • 40. 8 cm B Area of rectangle B = 14cm x 8cm = 112cm2
  • 41. 22 cm 14 cm 16 cm 8 cm B A Area of rectangle A = 352cm2 - Area of rectangle B = 112cm2 Area of border = 240cm2
  • 42. A rectangular pond, 6m long and 4m wide, has a path 1.5m wide all around it. Find the area of this path. 9m 6 m 1.5 m 4 m Pond 7m 1.5 m
  • 43. 9m Pond 7m Area of rectangle = 9m x 7m = 63m2
  • 44. 6m 4m Pond Area of pond = 6m x 4m = 24m2
  • 45. 9m 6 m 4 m 1.5 m Pond 7m 1.5 m Area of rectangle = 63m2 - Area of pond = 24m2 Area of path = 39m2