Chapter 6

Perimeter and Area

Learn to measure the distance around a shape and the flat space it covers.

Perimeter

The perimeter is the total distance around the outside of a flat shape. Imagine walking all the way around the edge and back to where you started. To find it, just add the length of every side. For a rectangle, the two long sides are equal and the two short sides are equal, so we can double the length and the width.

Key idea / Formula

Rectangle perimeter = 2 × (length + width). Square perimeter = 4 × side. Area of rectangle = length × width. Area of square = side × side.

Area

The area is the amount of flat space a shape covers. We count it in square units such as cm² or m². For a rectangle, multiply the length by the width.

Worked example

A rectangle is 8 cm long and 5 cm wide.
Perimeter = 2 × (8 + 5) = 2 × 13 = 26 cm.
Area = 8 × 5 = 40 cm².

Remember

  • Perimeter is a length, so its unit is cm or m.
  • Area is a surface, so its unit is cm² or m².
  • All four sides of a square are equal.

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