The document provides steps to calculate the total area of a shape divided into a rectangle and triangle. It finds the area of the rectangle to be 84 cm^2 and the triangle to be 24 cm^2. By adding these areas together, the total area is calculated to be 108 cm^2.

1. Example A
Find the area of the following shape:
7 cm
6 cm
12 cm
15 cm

2. This shape can be divided into a rectangle and a
triangle in a number of ways. This is one way:
7 cm
6 cm
12 cm
15 cm

3. This shape can be divided into a rectangle and a
triangle in a number of ways. This is one way:
7 cm
6 cm
12 cm
15 cm

4. This shape can be divided into a rectangle and a
triangle in a number of ways. This is one way:
7 cm
6 cm
Rectangle
12 cm
15 cm

5. This shape can be divided into a rectangle and a
triangle in a number of ways. This is one way:
7 cm
6 cm
Rectangle
12 cm
Triangle
15 cm

6. So we have a Rectangle that measures 7 cm × 12 cm.
7 cm
Rectangle
12 cm

7. So we have a Rectangle that measures 7 cm × 12 cm.
7 cm
Rectangle
12 cm
So the area is 7 × 12 =

8. So we have a Rectangle that measures 7 cm × 12 cm.
7 cm
Rectangle
12 cm
So the area is 7 × 12 = 84 cm2.

9. We can work out the base of the triangle by subtracting
7 cm from 15 cm.
7 cm
Triangle
15 cm Base

10. We can work out the base of the triangle by subtracting
7 cm from 15 cm.
7 cm
Triangle
15 cm Base
So this is 8 cm.

11. And we can work out the height by subtracting
6 cm from 12 cm. So this is 6 cm.
6 cm
12 cm
Height
Triangle

12. And we can work out the height by subtracting
6 cm from 12 cm. So this is 6 cm.
6 cm
12 cm
Height
Triangle
So this is 6 cm.

13. And we can work out the height by subtracting
6 cm from 12 cm. So this is 6 cm.
6 cm
12 cm
Height
Triangle
So this is 6 cm.
So the area of the triangle is ½ × 8 × 6 = 24 cm2.

14. Adding the two gives a total area of
84cm2
24cm2
84 + 24 =

15. Adding the two gives a total area of
84cm2
24cm2
84 + 24 = 108 cm2.