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Help at home · Maths

How to explain area and perimeter to your child

Find the perimeter and area of rectangles, triangles, parallelograms and other shapes, often from a diagram 'not drawn to scale'.

The note

How schools teach it now

Children count squares first, then use formulae: rectangle = length × width, triangle = ½ × base × height, parallelogram = base × height (the upright height, not the sloping side). Perimeter is the distance round the edge; area is the space inside, in square units (cm²).

5-minute kitchen-table activity

Measure a placemat or chopping board with a ruler. Your child works out the perimeter and the area. Then: can they draw a different rectangle with the same area but a longer perimeter?

Worked example

A triangle has a base of 10 cm and a perpendicular height of 7 cm. What is its area?

  1. Area of a triangle = ½ × base × height.
  2. 10 × 7 = 70.
  3. Half of 70 is 35.

Answer: 35 cm²

Common mistakes to watch for

  • Mixing up area and perimeter.
  • Forgetting to halve for a triangle.
  • Using the sloping side instead of the upright (perpendicular) height.

Encouragement

Try saying
“Are we measuring the edge or the inside?”
Rather than
“You've done this loads, why is it wrong?”

Practise area and perimeter 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.