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Area of compound shapes

Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas

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“If your child is given an L-shaped room on squared paper, can they split it into two rectangles, find the area of each part, and add them to get the total area?”

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  1. Activity. Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas

What to notice. Decompose an L-shape into two rectangles, find each area, and add them • Find the area of a floor plan shaped like a T by splitting into rectangles • Solve: A room is L-shaped (3m×5m plus 2m×4m) — what is the total area?

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If your child is given an L-shaped room on squared paper, can they split it into two rectangles, find the area of each part, and add them to get the total area?

Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas

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Check understanding

  • Decompose an L-shape into two rectangles, find each area, and add them
  • Find the area of a floor plan shaped like a T by splitting into rectangles
  • Solve: A room is L-shaped (3m×5m plus 2m×4m) — what is the total area?
“If your child is given an L-shaped room on squared paper, can they split it into two rectangles, find the area of each part, and add them to get the total area?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Measurement
Age range
Ages 8–9