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0580 · Notes & worked examples

Compound areas and external perimeters · Short practice

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Recall

Compound areas and external perimeters — objective 1

Maths4U Original · Short practice

From the top-right corner of a 13 cm by 13 cm rectangle, remove a 5 cm wide by 4 cm high rectangular notch. The remaining figure is L-shaped.

Find the removed area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Compound areas and external perimeters — objective 1

Maths4U Original · Short practice

From the top-right corner of a 14 cm by 8 cm rectangle, remove a 2 cm wide by 2 cm high rectangular notch. The remaining figure is L-shaped.

Find the removed area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Compound areas and external perimeters — objective 2

Maths4U Original · Short practice

From the top-right corner of a 14 cm by 8 cm rectangle, remove a 2 cm wide by 2 cm high rectangular notch. The remaining figure is L-shaped.

Find the remaining area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Compound areas and external perimeters — objective 2

Maths4U Original · Short practice

From the top-right corner of a 15 cm by 9 cm rectangle, remove a 3 cm wide by 3 cm high rectangular notch. The remaining figure is L-shaped.

Find the remaining area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Compound areas and external perimeters — objective 3

Maths4U Original · Short practice

From the top-right corner of a 15 cm by 9 cm rectangle, remove a 3 cm wide by 3 cm high rectangular notch. The remaining figure is L-shaped.

Find the length of the remaining top horizontal edge in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Compound areas and external perimeters — objective 3

Maths4U Original · Short practice

From the top-right corner of a 10 cm by 11 cm rectangle, remove a 5 cm wide by 2 cm high rectangular notch. The remaining figure is L-shaped.

Find the length of the remaining top horizontal edge in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Compound areas and external perimeters — objective 4

Maths4U Original · Short practice

From the top-right corner of a 16 cm by 10 cm rectangle, remove a 4 cm wide by 4 cm high rectangular notch. The remaining figure is L-shaped.

Find the external perimeter of the L-shape in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Compound areas and external perimeters — objective 4

Maths4U Original · Short practice

From the top-right corner of a 10 cm by 11 cm rectangle, remove a 5 cm wide by 2 cm high rectangular notch. The remaining figure is L-shaped.

Find the external perimeter of the L-shape in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Try written exam-style problems →