2.2.4 Example A
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![Page 1: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/1.jpg)
Example A
Find the area of the following shape:
15 cm
12 cm
7 cm
6 cm
![Page 2: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/2.jpg)
This shape can be divided into a rectangle and a triangle in a number of ways. This is one way:
15 cm
12 cm
7 cm
6 cm
![Page 3: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/3.jpg)
This shape can be divided into a rectangle and a triangle in a number of ways. This is one way:
15 cm
12 cm
7 cm
6 cm
![Page 4: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/4.jpg)
This shape can be divided into a rectangle and a triangle in a number of ways. This is one way:
15 cm
12 cm
7 cm
6 cmRectangle
![Page 5: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/5.jpg)
This shape can be divided into a rectangle and a triangle in a number of ways. This is one way:
15 cm
12 cm
7 cm
6 cmRectangle
Triangle
![Page 6: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/6.jpg)
So we have a Rectangle that measures 7 cm × 12 cm.
12 cm
7 cm
Rectangle
![Page 7: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/7.jpg)
So we have a Rectangle that measures 7 cm × 12 cm.
12 cm
7 cm
Rectangle
So the area is 7 × 12 =
![Page 8: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/8.jpg)
So we have a Rectangle that measures 7 cm × 12 cm.
12 cm
7 cm
Rectangle
So the area is 7 × 12 = 84 cm2.
![Page 9: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/9.jpg)
We can work out the base of the triangle by subtracting 7 cm from 15 cm.
15 cm
7 cm
Triangle
Base
![Page 10: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/10.jpg)
We can work out the base of the triangle by subtracting 7 cm from 15 cm.
15 cm
7 cm
Triangle
Base
So this is 8 cm.
![Page 11: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/11.jpg)
And we can work out the height by subtracting 6 cm from 12 cm. So this is 6 cm.
12 cm
6 cm
HeightTriangle
![Page 12: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/12.jpg)
And we can work out the height by subtracting 6 cm from 12 cm. So this is 6 cm.
12 cm
6 cm
HeightTriangle
So this is 6 cm.
![Page 13: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/13.jpg)
And we can work out the height by subtracting 6 cm from 12 cm. So this is 6 cm.
12 cm
6 cm
HeightTriangle
So this is 6 cm.
So the area of the triangle is ½ × 8 × 6 = 24 cm2.
![Page 14: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/14.jpg)
Adding the two gives a total area of
84cm2
24cm2
84 + 24 =
![Page 15: 2.2.4 Example A](https://reader035.fdocuments.net/reader035/viewer/2022062513/55657434d8b42a95028b4995/html5/thumbnails/15.jpg)
Adding the two gives a total area of
84cm2
24cm2
84 + 24 = 108 cm2.