Area and perimeter of composite shapes
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Log in to continueSplit unfamiliar shapes into known pieces and trace their complete boundaries.
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Find the area of the L-shape. All labelled lengths are in centimetres.
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A rectangle 8 cm wide and 6 cm high has a 3 cm by 2 cm rectangle removed from its top-right corner.
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Answer: 42 cm²
- Complete the outer rectangle: 8 × 6 = 48 cm².
- Subtract the missing corner: 48 − 6 = 42 cm².
- 8 × 6 = 48.
- 3 × 2 = 6.
- 48 − 6 = 42.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Split unfamiliar shapes into known pieces and trace their complete boundaries.
Read the official VCAA curriculum description (VC2M8M01)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
- VC2M8M01-C01Calculate area of irregular composite shapes with correct units.
- VC2M8M01-C02Calculate perimeter without confusing it with area.
- VC2M8M01-C03Use triangular and rectangular parts in a composite area.
- VC2M8M01-C04Apply and explain area and perimeter of composite shapes using read and connect representations.
- VC2M8M01-C05Apply and explain area and perimeter of composite shapes using work backwards from what is known.
- VC2M8M01-C06Apply and explain area and perimeter of composite shapes using build and check a model.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Add pieces or remove a missing pieceCalculate area of irregular composite shapes with correct units.
- D02Follow every boundary edgeCalculate perimeter without confusing it with area.
- D03Combine different shapesUse triangular and rectangular parts in a composite area.
- D04Read and connect representationsApply and explain area and perimeter of composite shapes using read and connect representations.
- D05Work backwards from what is knownApply and explain area and perimeter of composite shapes using work backwards from what is known.
- D06Build and check a modelApply and explain area and perimeter of composite shapes using build and check a model.