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Grade 4 Maths · Unit 6: Measurement

Area and perimeter problems

Use formulas for area and perimeter to solve problems.

For a rectangle, area = length × width and perimeter = 2 × (length + width). Area tells us how much surface is covered, so it uses square units like cm². Perimeter is a distance, so it uses cm.

You can work backwards. If a rectangle has an area of 48 cm² and a width of 6 cm, its length is 48 ÷ 6 = 8 cm. If a rectangle has a perimeter of 30 cm and a length of 9 cm, its width is 15 − 9 = 6 cm.

Worked example

A garden is 12 m long and 7 m wide. What is its area?

  1. Area = length × width.
  2. 12 × 7 = 84.

Answer:84 m²

Key words

area
the surface a shape covers
perimeter
the distance around a shape
formula
a rule written with words or letters
Practise this

New questions every time.

Common Core-referenced: 4.MD.A.3