Measurement units

Length units and square units are not the same

A length unit measures one direction. A square unit measures a surface in two directions. One square centimetre is a 1 cm by 1 cm square—not simply another way to write one centimetre.

Grades 3–6 · worked example · 3 practice checks

01

Recognize the problem first

  • Distance, side length, height, and perimeter use cm, m, or another length unit.
  • Area and surface coverage use cm², m², or another square unit.
  • Changing from metres to centimetres multiplies length by 100, but changing m² to cm² multiplies area by 10,000.
02

Work through one complete example

Question

A rectangle is 3 m long and 2 m wide. State its perimeter and area with correct units.

  1. Perimeter is a boundary length: 3 + 2 + 3 + 2 = 10 m.
  2. Area counts 1 m by 1 m squares: 3 × 2 = 6.
  3. Write the surface answer as 6 m².

AnswerPerimeter = 10 m; area = 6 m².

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03

Common mistakes to catch

  • Writing area as 6 m.
  • Writing perimeter as 10 m².
  • Using the length conversion factor when converting square units.
04

Try three quick checks

01

What unit should describe the area of a book cover?

Show answercm²
02

A square has side 5 m. State its perimeter and area.

Show answer20 m and 25 m²
03

Convert 2 m² to cm².

Show answer20,000 cm²