Perimeter (age 10+)

MathematicsMeasurementAges 10–11

Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically

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“If your child has 12 square tiles to arrange, can they make different-shaped rectangles and notice that the area stays the same (12 tiles) but the perimeters are all different?”

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Activity. Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically

What to notice. Draw two rectangles with area 24 cm² but different perimeters • Find two shapes with perimeter 20 cm but different areas • Explain why a long thin rectangle and a square can have the same area but different perimeters

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If your child has 12 square tiles to arrange, can they make different-shaped rectangles and notice that the area stays the same (12 tiles) but the perimeters are all different?

Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically

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Check understanding

Draw two rectangles with area 24 cm² but different perimeters
Find two shapes with perimeter 20 cm but different areas
Explain why a long thin rectangle and a square can have the same area but different perimeters