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Understanding Rectangles

In this worksheet, students will be asked to find missing lengths of rectangles from their given area. Students will also be asked to calculate perimeter once a missing length has been found.

'Understanding Rectangles' worksheet

Key stage:  KS 2

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Understand Rectangles

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

A rectangle is a 4-sided flat shape made of straight sides, where all four of its interior angles are 90°.

 

 

Image

 

 

 

In this activity, you will be asked to find the area and perimeter of rectangles.

You will also have to find the missing lengths of rectangles.

 

Key formula to remember: 

 

Area of a rectangle = length x width

Perimeter = length + width + length + width

 

 

Want to understand this further and learn how this links to other topics in maths?

 

Why not watch this video?

 

This rectangle has an area of 12 cm² and a width of 3 cm. 

 

What is the length of the rectangle?

 

Choose the correct answer.

 

Rectangle

4.5 cm

5 cm

4 cm

6 cm

Look at the rectangle below.

It has an area of 96 cm². It has a width of 8 cm.

What must its length be?

Complete the blank space.

 

Rectangle

 

4.5 cm

5 cm

4 cm

6 cm

Look at the rectangle below.

The length is 14 cm and the area is 126 cm² .

What is the width?

 

Rectangle

 

4.5 cm

5 cm

4 cm

6 cm

Look at the rectangle below.

The length is 16 cm and the area is 224 cm².

What is the width?

 

 

Rectangle

4.5 cm

5 cm

4 cm

6 cm

The rectangle below has an area of 84 cm².

 

Can you choose the correct width and length?

 

 

Rectangle

 

 13cm and 7cm7cm and 12cm14cm and 7cm9cm and 12cm
Width and Length of Rectangle

The rectangle below has an area of 336 cm².

 

 

Rectangle

 40 cm and 7 cm34 cm and 6 cm42 cm and 8 cm43 cm and 8 cm
Width and Length of Rectangle

The rectangle below has an area of 336 cm².

In the previous question, you calculated the width as 8 cm and the length as 42 cm.

What is the perimeter of the rectangle?

 

 

Rectangle

 

 

 40 cm and 7 cm34 cm and 6 cm42 cm and 8 cm43 cm and 8 cm
Width and Length of Rectangle

Can you work out the length of side a?

 

When you have done this, can you choose the correct perimeter for the shape below?

 

 

Rectangle L shape   

 

 

40 cm

54 cm

52 cm

45 cm

Can you work out the length of side a?

 

When you have done this, write the perimeter for the shape below in cm.

 

 

   

 

Can you work out the length of side a?

 

When you have done this, can you write the perimeter for the shape below in cm?

 

 

Rectangle L shape   

  • Question 1

This rectangle has an area of 12 cm² and a width of 3 cm. 

 

What is the length of the rectangle?

 

Choose the correct answer.

 

Rectangle

CORRECT ANSWER
4 cm
EDDIE SAYS
To find the area of a rectangle, we have to multiply the length by width. If we know the area of the rectangle is 12 cm² and the width is 3 cm, we can then divide 12 by 3 to get the answer of 4 cm. We can check this by doing the following calculation 4 x 3 = 12 cm²
  • Question 2

Look at the rectangle below.

It has an area of 96 cm². It has a width of 8 cm.

What must its length be?

Complete the blank space.

 

Rectangle

 

CORRECT ANSWER
EDDIE SAYS
Again, we must recall the formula, area = length x width. If we know the area is 96 cm² and the width is 8 cm, we have to divide 96 by 8 = 12. We can check this with the calculation 8 x 12 = 96 cm². Hopefully, this is beginning to get easier for you. Let's continue...
  • Question 3

Look at the rectangle below.

The length is 14 cm and the area is 126 cm² .

What is the width?

 

Rectangle

 

CORRECT ANSWER
EDDIE SAYS
If we divide the area of 126 cm² by the given length of 14, we get the answer 9. We can check this using the formula for finding the area 14 x 9 = 126 cm².
  • Question 4

Look at the rectangle below.

The length is 16 cm and the area is 224 cm².

What is the width?

 

 

Rectangle

CORRECT ANSWER
EDDIE SAYS
If we divide the area of 224 cm² by the given length of 16, we are given the answer of 14. We can check this using the formula for finding the area 16 x 14 = 224 cm²
  • Question 5

The rectangle below has an area of 84 cm².

 

Can you choose the correct width and length?

 

 

Rectangle

 

CORRECT ANSWER
 13cm and 7cm7cm and 12cm14cm and 7cm9cm and 12cm
Width and Length of Rectangle
EDDIE SAYS
How did you get on? The correct width and length of the rectangle are 7cm and 12cm. Area = 7 x 12 = 84 cm² . You're getting good at this! You're now halfway.
  • Question 6

The rectangle below has an area of 336 cm².

 

 

Rectangle

CORRECT ANSWER
 40 cm and 7 cm34 cm and 6 cm42 cm and 8 cm43 cm and 8 cm
Width and Length of Rectangle
EDDIE SAYS
The correct width and length of the rectangle are 8 cm and 42 cm. Area = 8 x 42 = 336 cm² .
  • Question 7

The rectangle below has an area of 336 cm².

In the previous question, you calculated the width as 8 cm and the length as 42 cm.

What is the perimeter of the rectangle?

 

 

Rectangle

 

 

CORRECT ANSWER
EDDIE SAYS
To find the perimeter we calculate length + width + length + width. 42 + 42 + 8 + 8= 100 cm Another way we can calculate the perimeter is by doubling the length, doubling the width and adding both together. 42 x 2 = 84 8 x 2 = 16 84 + 16 = 100 cm Simple, right?
  • Question 8

Can you work out the length of side a?

 

When you have done this, can you choose the correct perimeter for the shape below?

 

 

Rectangle L shape   

 

 

CORRECT ANSWER
52 cm
EDDIE SAYS
First, to find side a, we need to do the calculation 18 - 5 = 13 Side a = 13cm Then, add together each of the sides 12 + 18 + 6 + 5 + 13 = 54 cm
  • Question 9

Can you work out the length of side a?

 

When you have done this, write the perimeter for the shape below in cm.

 

 

   

 

CORRECT ANSWER
30cm
30 cm
30 centimetres
30centimetres
EDDIE SAYS
First, in order to find side a, we need to do the calculation 9 - 3 = 6 Side a = 6 cm Then, add together each of the sides 8 + 3 + 4 + 9 + 6 = 30 cm Great focus, you're almost complete! Then you can take a well-deserved break.
  • Question 10

Can you work out the length of side a?

 

When you have done this, can you write the perimeter for the shape below in cm?

 

 

Rectangle L shape   

CORRECT ANSWER
56 cm
56cm
56 centimetres
56
EDDIE SAYS
Firstly, in order to find side a, we need to do the calculation 18 - 5 = 13 Side a = 13 cm Then, we need to add together each of the sides. 13 + 14 + 5 + 18 + 6 = 56 cm Great work! We hope you’ve improved your knowledge of rectangles.
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