Geometry guide

Area or perimeter: how to tell which one you need

Area measures the surface inside a shape. Perimeter measures the distance around its boundary. Before calculating, underline what the question asks you to cover, fill, fence, frame, or walk around.

Grades 3–5 · worked example · 3 practice checks

01

Recognize the problem first

  • Covering, tiling, painting, or filling a surface usually asks for area.
  • Fencing, edging, framing, or travelling around a shape usually asks for perimeter.
  • Area uses square units such as cm²; perimeter uses length units such as cm.
02

Work through one complete example

Question

A rectangular garden is 8 m long and 5 m wide. Find both its planting area and the length of fence around it.

  1. For the planted surface, multiply length by width: 8 × 5 = 40.
  2. For the boundary, add all four sides: 8 + 5 + 8 + 5 = 26.
  3. Attach the correct units: square metres for area and metres for perimeter.

AnswerArea = 40 m²; perimeter = 26 m.

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03

Common mistakes to catch

  • Adding 8 + 5 and calling 13 the perimeter; that counts only two sides.
  • Writing m instead of m² for area.
  • Using a formula before deciding whether the question concerns the inside or the boundary.
04

Try three quick checks

01

A 7 cm by 4 cm card is covered with paper. How much paper is needed?

Show answer28 cm²
02

A 9 m by 3 m pen needs fencing. How much fence is needed?

Show answer24 m
03

A square has side length 6 cm. Find its area and perimeter.

Show answer36 cm² and 24 cm