Derive area formulas
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Log in to continueRelate rectangles, triangles and parallelograms through cutting and rearranging.
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Find the area of the rectangle from the given dimensions.
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A rectangle is 7 cm long and 4 cm wide.
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Answer: 28 cm²
- The rectangle contains length × width square units.
- 7 × 4 = 28 cm².
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Relate rectangles, triangles and parallelograms through cutting and rearranging.
Read the official VCAA curriculum description (VC2M7M01)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
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- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M7M01-C01A rectangle has area base × height. Cutting and moving part of a parallelogram makes a rectangle with the same base and perpendicular height. Two matching triangles make a parallelogram, so a triangle has half that area.
- VC2M7M01-C02The height measures separation at a right angle to the base; it is not a sloping side. Reverse the correct formula when height or base is unknown. A triangle’s factor of one-half matters in both forward and reverse calculations.
- VC2M7M01-C03Break a composite region into known shapes and identify the height belonging to each. Equal areas can belong to different shapes. Changing a sloping side without changing base or perpendicular height does not necessarily change a parallelogram’s area.
- VC2M7M01-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.
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- D01Establish the three formulasA rectangle has area base × height. Cutting and moving part of a parallelogram makes a rectangle with the same base and perpendicular height. Two matching triangles make a parallelogram, so a triangle has half that area.
- D02Use perpendicular heightThe height measures separation at a right angle to the base; it is not a sloping side. Reverse the correct formula when height or base is unknown. A triangle’s factor of one-half matters in both forward and reverse calculations.
- D03Combine and compare regionsBreak a composite region into known shapes and identify the height belonging to each. Equal areas can belong to different shapes. Changing a sloping side without changing base or perpendicular height does not necessarily change a parallelogram’s area.