AC9M8M01Year 8MeasurementPractised on site

AC9M8M01 — Year 8 Measurement

Official Curriculum Content Description:

solve problems involving the area and perimeter of irregular and composite shapes using appropriate units

Worked Examples (1)

Example 1Area of Compound Shapes

An L-shape is formed by cutting a

8

cm by

3

cm rectangle from the corner of a

11

cm by

7

cm rectangle. What is the area of the L-shape?

Common mistake: Calculated only the area of the full rectangle, forgetting to subtract the cut-out corner.

Correct Answer:

53\text{ cm}^2

Accepted: A unit is optional (cm^2, cm², sq cm all accepted).

Worked Solution:

Area of the full rectangle

= 11 \times 7 = 77\text{ cm}^2

. Area of the cut-out corner

= 8 \times 3 = 24\text{ cm}^2

. Area of the L-shape

= 77 - 24 = 53\text{ cm}^2

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