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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

VCMMG316

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

VCMMG317

Solve problems using ratio and scale factors in similar figures.

VCMMG318

Investigate Pythagoras’ Theorem and its application to solving simple problems involving right-angled triangles.

VCMMG320

Apply trigonometry to solve right-angled triangle problems.

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