Perimeter of a parallelogram, step by step

A parallelogram has two pairs of equal sides, so its perimeter is twice one side plus twice the other.

The question
158158 cm

Perimeter of a 15 by 8 parallelogram

sides:158158
sides:158158
sides:158158
15 + 8 + 15 + 8=46 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: 15 + 8 + 15 + 8.
  3. 15 + 8 + 15 + 8 = 46 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: 15 + 8 + 15 + 8.

  3. 03

    15 + 8 + 15 + 8 = 46 cm. Note the unit: cm, not square cm — a fence is a length, and a length never gets squared.