1. Area

2. The amount of surface covered by each shape is called its area.
Which one of these carpets takes up more floor space?
They have the same area.

3. The usual way of measuring area is to find the number of squares a shape covers
1 cm
1cm
1 cm
1cm
Here we have a square measuring 1 cm by 1 cm
We say the square has an area of 1

4. Here we have a square measuring 2 cm by 2 cm
If we place it on some centimetre squared paper we can see it covers 4 squares
We say the square has an area of 4

5. Placing each one onto centimetre paper we have:
What is the area of the following rectangles? A B C A B C
The area of rectangle C is 12
The area of rectangle B is 24
The area of rectangle A is 6

6. The area of a rectangle A B C Length = 2 cm Width = 6 cm
The area of rectangle C is
Length = 3 cm Width = 2 cm
The area of rectangle A is
Length = 6 cm Width = 4 cm
The area of rectangle B is

7. The area of a rectangle
Length (l)
Width (w)

8. Area of a triangle
Cut out the shaded area and place onto the left part of the triangle.
Cut out the shaded area and place onto the right part of the triangle.
Draw a rectangle around it
Draw a triangle onto squared paper
height
height
base
Notice the area of the rectangle is
What do you notice?

9. base
height
Area of a triangle
We notice the area of the triangle is

10. base
height
Area of a triangle

11. Area of a parallelogram
A parallelogram is a quadrilateral, which its opposite sides are parallel but are of unequal length
base
height
base
height
What do you notice?
Consider the shaded part and cut it off and place it on the other side.
The area of the parallelogram is base height.

12. Area of a parallelogram
base (b)
height (h)
Area of a parallelogram
The area of a parallelogram is

13. Area of a trapezium
Split the trapezium into two triangles h a b

14. Split the trapezium into two trianglesb a A B
Area of triangle A
Area of triangle B
Area of trapezium

15. Area of a trapezium
To find the area of a trapezium you must add together the two parallel sides, multiply by the height and divide by 2. h a b

16. The area of a kite Place the triangle on the other side.
Place this triangle on the other side.
Cut out the shaded triangle.
Cut out shaded triangle.
Draw on diagonal length b.
Draw a kite onto squared paper
Draw on diagonal length a b a

17. The area of a kite Your diagram should look like this.b
The area of a kite
What do you notice?
We now have a rectangle
The length (l) is b
The width (w) is b
The area

18. The area of a kite Area of a kite is half the product of its diagonalsb a
The area of a kite
Area of a kite is half the product of its diagonals

19. Area of Shapes Rectangle Triangle Parallelogram Trapezium Kite
length (l)
width (w)
base (b)
height (h)
base (b)
height (h)
Trapezium
Kite b b a h a