Perimeter · Grade 6

In Grade 6 you learn: perimeter of rectilinear shapes; finding a missing side from the perimeter; shapes with the same area and different perimeters.

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

  • Rectangle: area = length × width; perimeter = 2 × (length + width).
  • Rectilinear shapes: work out any missing sides from the others first.
  • Shapes with the same area can have different perimeters.

Worked examples

Example 1

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

Answer: 34 cm

Example 2

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

Answer: 6 cm

Example 3

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

Answer: 38 m

Example 4

Two rectangles both have an area of 24 cm². One is 6 cm by 4 cm; the other is 12 cm by 2 cm. Which has the longer perimeter?

Answer: 12 cm by 2 cm (28 cm, not 20 cm)

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