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Area and perimeter

Perimeter is the distance around a shape; area is the space inside. Learn the formulae and break harder shapes into simple ones.

Formulae

Compound shapes

Split an L shape or a house shape into rectangles and triangles. Find each area and add.
For perimeter, add every outside edge, working out any missing lengths.

Units

Area is in square units: cm2, m2.
Always use the perpendicular height, which meets the base at a right angle.
Worked example

A trapezium has parallel sides 6 cm and 10 cm and height 4 cm. Find its area.

  1. 12(6 + 10) × 4
  2. = 12 × 16 × 4
  3. = 32

Answer: 32 cm2

Key idea

Rectangle lw, triangle ½bh, parallelogram bh, trapezium ½(a + b)h. Split compound shapes and use perpendicular heights.

The interactive lesson includes the diagrams for this topic.

Check you have got it

Answer 6 quick questions with instant marking. If you get one wrong, GCSE-ready shows you why and gives you another go. It is free, and you do not need an account.