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AustraliaNSW
Stage 5.1-3

5.03 Scale and area

Interactive practice questions

Determine whether the following statements are true or false.

a

Area calculations involve the multiplication of two lengths.

True

A

False

B
b

If the side lengths of a shape are multiplied by a scale factor, the area of that shape will be multiplied by that scale factor four times.

True

A

False

B
c

The ratio of areas in similar figures is equal to the square of the scale factor.

True

A

False

B
Easy
1min

A square has sides of $6$6 cm. Give the side length of the new square if:

Easy
2min

A scale model of a building has a height of $24$24 cm. The actual building is $6$6 m tall. Determine the scale factor used when creating the model based on the actual building.

Easy
1min

The two rectangles in the diagram below are similar:

Easy
1min
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Outcomes

MA5.1-11MG

describes and applies the properties of similar figures and scale drawings

MA5.2-13MG

applies trigonometry to solve problems, including problems involving bearings

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