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Help at home · Maths

How to explain compound shapes to your child

Find the area or perimeter of an L-shape or another shape made from rectangles, working out any missing side lengths first.

The note

How schools teach it now

Split the shape into rectangles (or take a small rectangle away from a big one), find each area, then add or subtract. Missing sides come from the sides you already know.

5-minute kitchen-table activity

Sketch a room in your home as an L-shape with real measurements. Your child splits it into rectangles to work out how much carpet you'd need.

Worked example

An L-shape is a 10 cm by 8 cm rectangle with a 4 cm by 3 cm rectangle cut from one corner. What is its area?

  1. Whole rectangle: 10 × 8 = 80 cm².
  2. Cut-out piece: 4 × 3 = 12 cm².
  3. 80 − 12 = 68.

Answer: 68 cm²

Common mistakes to watch for

  • Counting the overlap twice when splitting the shape.
  • Missing a side when adding up the perimeter.
  • Thinking a corner cut-out makes the perimeter smaller (for an L-shape it stays the same).

Encouragement

Try saying
“Can we cut it into rectangles we know?”
Rather than
“This one's too tricky, skip it.”

Practise compound shapes with marked questions

Academy11+ marks every answer, shows how your child is doing in each topic and puts the right home-help note next to the ones they find hard.