Measurement • Area and perimeter · Stretch and explain
Same fence, different garden
Use 20 metres of fencing to make rectangular gardens with whole-metre sides. Draw three possibilities. Which gives the most planting space?
Give it a go
Try ideas with the activity tools, draw your thinking, or explain it in words. There may be more than one useful response. This activity does not save or submit your work.
What this explores
Fixed perimeter and variable area. Distinguish the length of the boundary from the space inside. Whole-metre rectangles make a finite search; turning a rectangle does not create a new area.
A starting nudge
Two lengths and two widths must total 20. Compare the areas, not just how long the gardens look.
Take it further
Predict the best rectangle if the fence length became 24 metres.
For teachers
Ask students to compare strategies and explain what makes their response valid. These difficulty bands are provisional, not verified curriculum or year-level alignments.
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