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Perimeter worksheet. A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

1.
Calculate perimeter 2 Rosie and Eva work out the perimeter of the shape below.

6 cm

4 cm

1 Work out the perimeter of each shape.

6 + 4 = 10,

a) 5 cm so the perimeter is

10 cm.

3 cm 3 cm Rosie The perimeter is

Eva

20 cm.

Who is correct?

5 cm

How do you know?

perimeter = cm

b) 40 mm

20 mm

3 Tick the shapes with a perimeter of 16 cm.

8 cm

perimeter = mm 2 cm 40 mm

c)

3m

6 cm

10 cm

2 cm

perimeter = m

6 cm

© White Rose Maths 2019

6 cm

4 cm

1 Work out the perimeter of each shape.

6 + 4 = 10,

a) 5 cm so the perimeter is

10 cm.

3 cm 3 cm Rosie The perimeter is

Eva

20 cm.

Who is correct?

5 cm

How do you know?

perimeter = cm

b) 40 mm

20 mm

3 Tick the shapes with a perimeter of 16 cm.

8 cm

perimeter = mm 2 cm 40 mm

c)

3m

6 cm

10 cm

2 cm

perimeter = m

6 cm

© White Rose Maths 2019

2.
4 Which shape has the longest perimeter? Tick your answer. b) 80 mm

4 cm

2 cm 2 cm

30 mm

50 mm

3 cm 3 cm

20 mm

6 cm 6 cm

10 mm

4 cm

50 mm

30 mm

20 mm 20 mm

70 mm

perimeter =

20 mm 20 mm What do you notice?

20 mm

6 This rectangle has a perimeter of 18 cm.

Show all your workings. Work out the length of side a.

5 Work out the perimeter of these shapes. 6 cm

a) 3 cm

a

2 cm

5 cm

9 cm perimeter = 18 cm

7 cm side a =

perimeter =

8 cm © White Rose Maths 2019

4 cm

2 cm 2 cm

30 mm

50 mm

3 cm 3 cm

20 mm

6 cm 6 cm

10 mm

4 cm

50 mm

30 mm

20 mm 20 mm

70 mm

perimeter =

20 mm 20 mm What do you notice?

20 mm

6 This rectangle has a perimeter of 18 cm.

Show all your workings. Work out the length of side a.

5 Work out the perimeter of these shapes. 6 cm

a) 3 cm

a

2 cm

5 cm

9 cm perimeter = 18 cm

7 cm side a =

perimeter =

8 cm © White Rose Maths 2019

3.
Measure perimeter 2 Use a piece of wool to measure the perimeter of the hexagon.

How much wool did you need? Give units with your answer.

1 Here are two rectangles.

A B

3 a) Measure each side of the rectangle and label it.

Use a piece of wool to measure the perimeter of each rectangle.

How much wool did you need for each one?

Give units with your answer.

b) What is the perimeter of the rectangle?

A= B =

© White Rose Maths 2019

How much wool did you need? Give units with your answer.

1 Here are two rectangles.

A B

3 a) Measure each side of the rectangle and label it.

Use a piece of wool to measure the perimeter of each rectangle.

How much wool did you need for each one?

Give units with your answer.

b) What is the perimeter of the rectangle?

A= B =

© White Rose Maths 2019

4.
4 Measure the perimeter of each shape. 6 Aisha is working out the perimeter of a rectangle.

a) She measures the length of all 4 sides and labels the rectangle.

15 cm

20 cm 20 cm

50 cm

perimeter = How do you know that Aisha’s measurements are wrong?

b) 7 Is it possible to work out the perimeter of each shape?

Circle your answer.

a) 8 cm

yes no

b) 60 mm

perimeter = 25 mm yes no

5 Draw a triangle with a perimeter of 15 cm. c)

yes no

60 mm

25 mm

How do you know whether you can or cannot find the

perimeter of each shape?

Talk about it with a partner.

© White Rose Maths 2019

a) She measures the length of all 4 sides and labels the rectangle.

15 cm

20 cm 20 cm

50 cm

perimeter = How do you know that Aisha’s measurements are wrong?

b) 7 Is it possible to work out the perimeter of each shape?

Circle your answer.

a) 8 cm

yes no

b) 60 mm

perimeter = 25 mm yes no

5 Draw a triangle with a perimeter of 15 cm. c)

yes no

60 mm

25 mm

How do you know whether you can or cannot find the

perimeter of each shape?

Talk about it with a partner.

© White Rose Maths 2019

5.
Subtract lengths 2 Jack’s rope is 4 m 50 cm long.

He uses 2 m to make a swing.

How long is his rope now?

1 Complete the sentences to describe the lengths of

4 m 50 cm

the objects.

a)

? 2 m cut

Jack’s rope is now m and cm long.

3 Tommy, Rosie and Annie each measure their height.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

The toy car is mm long.

b)

Annie Rosie Tommy

135 cm 1 m 15 cm

a) What is the difference in height between Tommy and Rosie?

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

The toy boat is cm long.

b) Annie is 30 mm shorter than Rosie. What is Annie’s height?

c) The toy boat is cm longer than the toy car.

The toy car is mm shorter than the toy boat.

© White Rose Maths 2019

He uses 2 m to make a swing.

How long is his rope now?

1 Complete the sentences to describe the lengths of

4 m 50 cm

the objects.

a)

? 2 m cut

Jack’s rope is now m and cm long.

3 Tommy, Rosie and Annie each measure their height.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

The toy car is mm long.

b)

Annie Rosie Tommy

135 cm 1 m 15 cm

a) What is the difference in height between Tommy and Rosie?

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

The toy boat is cm long.

b) Annie is 30 mm shorter than Rosie. What is Annie’s height?

c) The toy boat is cm longer than the toy car.

The toy car is mm shorter than the toy boat.

© White Rose Maths 2019

6.
4 Nijah buys 5 m of ribbon. 7 Fill in the empty boxes so that each row and column adds

She uses 78 cm of the ribbon to decorate a bag. up to 2 m.

How much ribbon does she have left?

50 cm 50 cm

m and cm

1 m 15 cm

5 Complete the number sentences.

85 cm

a) 2 m – 50 cm = cm

b) 85 mm – 2 cm = mm Talk about what you did with a partner.

Are your answers the same?

c) 9 cm 5 mm – 20 mm = cm and mm

Create your own problem like this using a different total.

d) 100 mm – cm = 6 cm Ask a partner to find the answer.

6 Huan has a 10 m ball of string.

He uses 50 cm to replace his shoelace.

He uses some more of his string to make a bow for his arrows.

He has 7 m and 45 cm of string left.

How much string did Huan use to make his bow?

m and cm

© White Rose Maths 2019

She uses 78 cm of the ribbon to decorate a bag. up to 2 m.

How much ribbon does she have left?

50 cm 50 cm

m and cm

1 m 15 cm

5 Complete the number sentences.

85 cm

a) 2 m – 50 cm = cm

b) 85 mm – 2 cm = mm Talk about what you did with a partner.

Are your answers the same?

c) 9 cm 5 mm – 20 mm = cm and mm

Create your own problem like this using a different total.

d) 100 mm – cm = 6 cm Ask a partner to find the answer.

6 Huan has a 10 m ball of string.

He uses 50 cm to replace his shoelace.

He uses some more of his string to make a bow for his arrows.

He has 7 m and 45 cm of string left.

How much string did Huan use to make his bow?

m and cm

© White Rose Maths 2019

7.
Add lengths 3 Brett is 115 cm tall.

His brother is 20 cm taller.

How tall is Brett’s brother?

Write your answer in metres and centimetres.

1 Scott builds a bridge using planks.

120 cm 75 cm

10 cm m and cm

25 cm

4 Dora builds a tower that measures 1 m and 5 cm.

Annie builds a tower that measures 80 cm.

a) What is the total length of his bridge? cm

Dexter builds a tower that measures 95 cm.

They put their towers together to make one high tower.

How tall is their new tower?

b) What is the height of his bridge? cm

2 Complete the additions.

a) 25 cm + 75 cm = m

b) 10 cm + 50 mm = cm The new tower is cm tall.

c) 1 m 20 cm + cm = 2 m

This is the same as m and cm.

d) 52 mm + mm = 6 cm

© White Rose Maths 2019

His brother is 20 cm taller.

How tall is Brett’s brother?

Write your answer in metres and centimetres.

1 Scott builds a bridge using planks.

120 cm 75 cm

10 cm m and cm

25 cm

4 Dora builds a tower that measures 1 m and 5 cm.

Annie builds a tower that measures 80 cm.

a) What is the total length of his bridge? cm

Dexter builds a tower that measures 95 cm.

They put their towers together to make one high tower.

How tall is their new tower?

b) What is the height of his bridge? cm

2 Complete the additions.

a) 25 cm + 75 cm = m

b) 10 cm + 50 mm = cm The new tower is cm tall.

c) 1 m 20 cm + cm = 2 m

This is the same as m and cm.

d) 52 mm + mm = 6 cm

© White Rose Maths 2019

8.
5 Red bricks are 50 mm long.

6 Jack, Tommy and Alex took part in a hop, skip and

Blue bricks are 80 mm long. jump competition.

Their distances are shown in the table below.

Complete the table to show the total distance each

50 mm 80 mm child travelled.

a) Whitney and Eva make patterns using the bricks. Name Hop Skip Jump Total

How long is each pattern? Jack 80 cm 60 cm 1 m 20 cm

Give your answers in centimetres. Tommy 70 cm 1m 1 m 10 cm

Alex 75 cm 75 cm 1m

7 Esther builds a tower using some bricks.

Her tower is 24 cm tall.

Whitney Eva Which bricks could she have used?

Whitney’s pattern is cm long.

120 mm A 8 cm C

Eva’s pattern is cm long.

b) Draw some red and blue bricks to make a pattern that

would be exactly 36 cm long.

40 mm B 6 cm D

How many different answers can you find?

© White Rose Maths 2019

6 Jack, Tommy and Alex took part in a hop, skip and

Blue bricks are 80 mm long. jump competition.

Their distances are shown in the table below.

Complete the table to show the total distance each

50 mm 80 mm child travelled.

a) Whitney and Eva make patterns using the bricks. Name Hop Skip Jump Total

How long is each pattern? Jack 80 cm 60 cm 1 m 20 cm

Give your answers in centimetres. Tommy 70 cm 1m 1 m 10 cm

Alex 75 cm 75 cm 1m

7 Esther builds a tower using some bricks.

Her tower is 24 cm tall.

Whitney Eva Which bricks could she have used?

Whitney’s pattern is cm long.

120 mm A 8 cm C

Eva’s pattern is cm long.

b) Draw some red and blue bricks to make a pattern that

would be exactly 36 cm long.

40 mm B 6 cm D

How many different answers can you find?

© White Rose Maths 2019