Why the rectangle area formula works
Practise online with Next and Previous buttons, worked explanations and a report of the questions to review.
Log in to continueDerive area from equal square rows and use it in practical problems.
One-question preview
Choose one answer
Try this sample, or continue to the online quiz for a practice set with Next and Previous buttons.
A rectangle has the dimensions shown in centimetres. What area is covered by its 1 cm² squares, with no gaps or overlaps?
Read the diagram description
A rectangle is 6 cm long and 4 cm wide.
Show worked steps
Answer: 24 cm²
- There are 4 rows with 6 square units in each.
- Rows × units per row = 24 square units, so the area is 24 cm².
This is a question from this topic’s quiz. Preview answers are not saved.
Scratchpad
Working out
Draw with a finger, pen or mouse, or type your working below.
Your working stays on this page. It is not submitted or saved, and clears when you leave or reload.
Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Derive area from equal square rows and use it in practical problems.
Read the official VCAA curriculum description (VC2M6M02)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M6M02-C01A rectangle with 6 columns and 4 rows contains 6 × 4 square units. This establishes area = length × width. Turning the rectangle swaps the factors but does not change the covered region.
- VC2M6M02-C02Use matching length units before multiplying; the answer uses square units. If area and one side are known, divide to find the other. An added strip has its own rectangular area and can be calculated separately.
- VC2M6M02-C03Borders increase both ends of each dimension. To preserve area when length doubles, width must halve. Compare complete products when dimensions change, and keep area separate from perimeter.
- VC2M6M02-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.
Learn with worked examples
Help with this topic
Skills in this topic
Traceable coverage
Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Build area from rows of squaresA rectangle with 6 columns and 4 rows contains 6 × 4 square units. This establishes area = length × width. Turning the rectangle swaps the factors but does not change the covered region.
- D02Use and reverse the formulaUse matching length units before multiplying; the answer uses square units. If area and one side are known, divide to find the other. An added strip has its own rectangular area and can be calculated separately.
- D03Adapt and evaluate the modelBorders increase both ends of each dimension. To preserve area when length doubles, width must halve. Compare complete products when dimensions change, and keep area separate from perimeter.