๐Ÿ“ Perimeter

Measure all the way around shapes like a superstar!

๐Ÿ“– Learn
What is perimeter?
โœ๏ธ Examples
Step-by-step problems
๐Ÿ”ฌ Visualiser
Shape perimeter tool
๐ŸŽฏ Practice
20 mixed questions

๐Ÿ“– All About Perimeter

1. What is Perimeter?

Perimeter is the total distance all the way around the outside of a shape.

Think of it like putting a fence around a garden โ€” you add up all the sides!

Perimeter = add ALL sides together

2. Rectangle Perimeter

A rectangle has two pairs of equal sides: length (l) and width (w).

P = 2 ร— (l + w)

Example: l = 6 cm, w = 4 cm

P = 2 ร— (6 + 4) = 2 ร— 10 = 20 cm

Or: P = l + l + w + w = 6 + 6 + 4 + 4 = 20 cm โœ“

3. Square Perimeter

A square has 4 equal sides. If each side = s:

P = 4 ร— s

Example: s = 5 cm โ†’ P = 4 ร— 5 = 20 cm

4. Irregular Shapes

For shapes with lots of different sides, just add them all up!

Example: sides 3 cm, 4 cm, 5 cm, 3 cm

P = 3 + 4 + 5 + 3 = 15 cm

Tip: label each side as you go so you don't miss any!

5. Finding a Missing Side

If you know the perimeter and some sides, you can find the missing side by subtracting.

Example: Rectangle, P = 18 cm, l = 6 cm

w = (18 รท 2) โˆ’ 6 = 9 โˆ’ 6 = 3 cm

Or: missing side = P โˆ’ sum of known sides

โœ๏ธ Worked Examples

Example 1 โ€“ Rectangle

Find the perimeter of a rectangle with length 7 cm and width 4 cm.

P = 2 ร— (l + w)
P = 2 ร— (7 + 4) = 2 ร— 11
P = 22 cm

Example 2 โ€“ Square

Find the perimeter of a square with side 8 cm.

P = 4 ร— s
P = 4 ร— 8
P = 32 cm

Example 3 โ€“ Finding a Missing Side

A rectangle has perimeter 20 cm and length 6 cm. Find the width.

P = 2 ร— (l + w) โ†’ 20 = 2 ร— (6 + w)
10 = 6 + w
w = 10 โˆ’ 6 = 4 cm

Example 4 โ€“ Word Problem

A garden is 9 m long and 6 m wide. How much fencing is needed?

P = 2 ร— (9 + 6) = 2 ร— 15
P = 30 m of fencing

Example 5 โ€“ Count Around a Grid Shape

A shape on squared paper has sides: top 4, right 3, bottom 4, left 3.

P = 4 + 3 + 4 + 3
P = 14 units

๐Ÿ”ฌ Perimeter Visualiser

Rectangle / Square Calculator




Your Shape

Exercise 1 โ€“ Perimeter of Rectangles

Use P = 2 ร— (l + w) to find each perimeter.

Exercise 2 โ€“ Perimeter of Squares

Use P = 4 ร— s to find each perimeter.

Exercise 3 โ€“ Find the Missing Side

The perimeter is given. Work out the missing side.

Exercise 4 โ€“ Count Unit Squares

Count the units around the outside of each shape on the grid.

Exercise 5 โ€“ Word Problems

Read each problem and find the perimeter.

๐ŸŽฏ Practice โ€“ 20 Questions

๐Ÿ† Challenge