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Australia
Year 9

4.03 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

ACMMG220

Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar

ACMMG221

Solve problems using ratio and scale factors in similar figures

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