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Perimeter of a Parallelogram

Introduction

A parallelogram is a quadrilateral that has two pairs of parallel sides. A square and a rectangle can also be counted as parallelograms.

The perimeter of a shape is the distance around the outside.

Terms

Area - A quantity that expresses the extent of a two-dimensional shape.
Parallel - Parallel lines are lines that always have the same distance between them.
Parallelogram - A four-sided polygon with opposite sides parallel.
Quadrilateral - A four sided figure.

Lesson

To find the perimeter of a parallelogram, you just need to add up the lengths of all four of the sides. Because a parallelogram has two pairs of sides, you only need to know the length of one of each of the pair.

For example, using the rectangle below you can see that the width is 20cm and the height is 10cm. Therefore, we have two sides of 20cm and two sides of 10cm.

width = 20 cm

height = 10 cm

To find the perimeter, we add those all together:

20+20+10+10=60cm20 + 20 + 10 + 10 = 60cm

So, the perimeter of this shape is 60cm.

Examples

Area of a Parallelogram

15
Perimeter = 2 * Base + 2 * Side
Perimeter = 2 * 2020 + 2 * 16.1616.16
Perimeter=40+32.32\text{Perimeter} = 40 + 32.32
Perimeter=72.32\text{Perimeter} = 72.32

Area of a Parallelogram (w/ Decimal Base)

10
Perimeter = 2 * Base + 2 * Side
Perimeter = 2 * 12.512.5 + 2 * 11.6611.66
Perimeter=25+23.32\text{Perimeter} = 25 + 23.32
Perimeter=48.32\text{Perimeter} = 48.32

Perimeter of a Parallelogram Worksheets (PDF)

Perimeter of a Parallelogram Worksheet 1

Perimeter of a Parallelogram Worksheet 2

Perimeter of a Parallelogram Worksheet 3

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