Perimeter of a trapezoid, step by step

A trapezoid's four sides can all be different, so its perimeter is a plain four-number addition with no shortcut.

The question
6555 cm

Perimeter of a 5-5-6-5 trapezoid

sides:5565
sides:5565
sides:5565
5 + 5 + 6 + 5=21 cm
  1. Perimeter is the distance round the OUTSIDE — the length of the fence, not the size of the field. That is the whole difference between this and area, and it is where the usual wrong answer comes from.
  2. So there is nothing to work out — just walk round the edge and add: 5 + 5 + 6 + 5.
  3. 5 + 5 + 6 + 5 = 21 cm. Note the unit: cm, not square cm — a fence is a length, and a length never gets squared.

How it works.

  1. 01

    Perimeter is the distance round the OUTSIDE — the length of the fence, not the size of the field. That is the whole difference between this and area, and it is where the usual wrong answer comes from.

  2. 02

    So there is nothing to work out — just walk round the edge and add: 5 + 5 + 6 + 5.

  3. 03

    5 + 5 + 6 + 5 = 21 cm. Note the unit: cm, not square cm — a fence is a length, and a length never gets squared.