Perimeter · Year 5

In Year 5 you learn: perimeter of rectangles with a formula and finding a missing side from the perimeter.

The perimeter of a shape is the distance all the way round it: add the lengths of all its sides. For a rectangle, perimeter = 2 × (length + width). Perimeter is a length, so it is measured in cm, m or km.

Key facts

  • Perimeter is the distance all the way round a shape: add up all its sides.
  • Rectangle: area = length × width; perimeter = 2 × (length + width).
  • A square has 4 equal sides, so its perimeter is 4 × the side.
  • Rectilinear shapes: work out any missing sides from the others first.

Worked examples

Example 1

Find the perimeter of a rectangle 6 cm long and 4 cm wide.

Answer: 20 cm

Example 2

A triangle has sides of 5 cm, 7 cm and 8 cm. What is its perimeter?

Answer: 20 cm

Example 3

A square has sides of 9 cm. What is its perimeter?

Answer: 36 cm

Example 4

Find the perimeter of this L-shape. All corners are right angles; lengths are in cm.

Answer: 34 cm

Example 5

A rectangle has a perimeter of 30 cm. It is 9 cm long. How wide is it?

Answer: 6 cm

Example 6

A rectangle is 12 m long and 7 m wide. Use a formula to find its perimeter.

Answer: 38 m

Other years