Perimeter Worksheets | Questions and Revision | MME

Perimeter Worksheets, Questions and Revision

Level 1-3


The perimeter of a 2D shape is the distance around the edges of the shape. It is found by adding up the lengths of each individual edge of the shape. This can be easy for simple shapes and harder for composite shapes. 

Make sure you are happy with the following the following topics:

2D Shapes and Quadrilaterals 


0 votes, 0 avg
Created on By Patrick Daley-Dee

Perimeter Quiz

Try the MME Perimeter quiz.

1 / 4

The diagram of a floor plan is shown below.

AB = 100 m

Using the diagram to calculate the perimeter of the floor.



Question Image

2 / 4

The shape below is made from attaching 5 different sized rectangles together.

Calculate the perimeter of the shape formed.


Question Image

3 / 4

Calculate the perimeter of the rectangle.


Question Image

4 / 4

Calculate the perimeter of the regular pentagon.


Question Image

Your score is

The average score is 70%


KS3 Level 1-3

Test your skills with online exams on the MME Revision Platform

5 Question Types

Our platform contains 5 question types: simple, multiple choice, multiple answers, fraction and image based questions. More question types are coming soon.

Video Solutions

Premium users have access to Video Solutions for every single exam question. Our expert Maths tutors explain all parts of the question and answer in detail. Follow along and improve your grades.

Written Solutions

Get written solutions for every single exam question, detailing exactly how to approach and answer each one, no matter the difficulty or topic.

Track your progress

Every exam attempt is stored against your unique student profile, meaning you can view all previous exam and question attempts to track your progress over time.

KS3 Level 4-5

Perimeter of Simple Shapes

The rectangle shown below has a length of 11cm and a width of 3cm.

Calculate the perimeter of the rectangle shown. 

perimeter of a rectangle example

The opposite sides of a rectangle are equal in length.

So, the two sides that are not labelled must also be 3 cm and 11 cm.

Therefore, we get

Perimeter = 3+3+11+11=28 cm

KS3 Level 1-3

Perimeter of Compound Shapes 

ABCDEF is a composite shape made up of rectangles.

Calculate the perimeter of shape ABCDEF.

perimeter of compound shapes example

Usually, with compound shapes there will be some missing sides which need to be calculated. 

First we need to calculate ED.

We can see that FA = ED + CB, so we can calculate:

7 = 5 + ED

ED = 2

Next, we do the same with DC.

AB = FE + DC

12 = 3+DC

DC = 9

Finally, we can calculate the perimeter by adding up all the side lengths. 

3 + 2+ 9 + 5+ 12+ 7 = 38

perimeter of compound shapes example
KS3 Level 4-5

Example 1: Compound Shapes

ABCDE is a shape made up of a rectangle and a semi-circle.
AB = 6,\,BC=13.

Calculate the perimeter of this shape to 3 significant figures.

[2 marks]

perimeter compound shapes example semicircle rectangle

With compound shapes we first need to break it up into two parts. 

1) Rectangle – We know that rectangles have two pairs of equal sides, so we know that DC=6 and AD=13. However, since it is not on the outside of the shape, we won’t be counting AD with the perimeter. Therefore, the perimeter so far (sides AB, BC, and CD) is


2) Semi-circle – The formula for the circumference of a circle is \pi d, where d is the diameter. Because it is a semi-circle we’re dealing with, we will half the result. Doing this, we get

AED=\dfrac{(\pi \times 13)}{2}=20.420...

Now, adding the values together we get the total perimeter to be

25+20.420...=45.4 (3 sf)

perimeter compound shapes example semicircle rectangle
KS3 Level 4-5

Example 2: Perimeter of Triangles 

ABC is a triangle. AB = 8 cm, BC = 6 cm. Angle ABC is a right-angle. Calculate the perimeter of triangle ABC.

[2 marks]

In this case, we are given two sides of the triangle but will have to work out the third if we want to find the perimeter. Since this is a right-angled triangle, we can use Pythagoras! Pythagoras’ theorem says


Where c is the hypotenuse and a and b are the other two sides. So, the equation becomes


Evaluating the left-hand side, and then square rooting, we get


AC=\sqrt{100}=10\text{ cm}

Now we have all three sides, simply add them to get the perimeter:

6+8+10=24\text{ cm}

perimeter of right triangle
perimeter of right triangle
KS3 Level 4-5

GCSE Maths Revision Cards

(252 Reviews) £8.99

Take an Online Exam

Perimeter Online Exam

Example Questions

To find the perimeter, we need to find the length of one side (all sides are the same, since it’s a square). If we say that x is the length of one side, then the area is,




So, if we square root both sides, we find that x=8. Therefore, the perimeter of the square is,


8+8+8+8=32\text{ m}

This hexagon is regular, so all 6 of its sides must be the same length. Since the perimeter is the result of adding all the sides together, we get:


\text{Length of one side}=21 \div 6=3.5\text{ cm}

Perimeter of semi-circle arc can be calculated by finding half of the circumference of a complete circle:


\dfrac{1}{2}\times\pi\times10=5\pi cm


Length of base = 10 cm

Total Perimeter = 10 +5\pi = 25.7 cm

To find the perimeter, we first need to find the missing lengths: 


120-55=65 cm

195-70=125 cm


Hence adding all the lengths together: 


Total Perimeter =120+70+65+125+55+195=630 cm

Here we are given the perimeter, whilst the side-lengths are expressed in terms of x. Since this triangle is an isosceles triangle, we know that, 


AB = BC = x+5


Adding together the three sides:

(x+5) + (x+5) + 3x= 45 \text{cm}


Now, to find x we must solve this equation,


\begin{aligned}5x+10&=45 \\ 5x&=35 \\ x&= 35\div5=7\text{cm}\end{aligned}

Worksheets and Exam Questions


(NEW) Perimeter Exam Style Questions - MME

Level 4-5 New Official MME

Trigonometry Questions, Revision and Worksheets

Level 6-7

Areas of Shapes Worksheets, Questions and Revision

Level 1-3