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Rectangle Problems

In this worksheet, students use the properties of rectangles to find missing lengths in rectangular shapes.

'Rectangle Problems' worksheet

Key stage:  KS 2

Curriculum topic:  Geometry: Properties of Shapes

Curriculum subtopic:  Understand Rectangles

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

Look at this shape, which is made of two rectangles joined together.

There is a 6 cm by 2 cm rectangle lying flat and a 3 cm by 7 cm lying upright.

 

 

We can use the fact that rectangles have parallel sides of equal length to work out missing distances in rectangular arrangements.

 

 

Example 1

In the diagram above, work out the length a in cm.

 

Answer

Use the fact that the top rectangle is 2 cm tall all the way along, even at its right hand edge.

Also the upright rectangle is 7 cm tall even at its left hand edge.

 

This is shown in the diagram below.

 

 

This means that a is 7 cm - 2 cm = 5 cm.

 

 

Example 2

In the diagram, work out the length a in cm.

 

Answer

Use the fact that the top of the blue rectangle will match the length of the bottom as 4 cm.

The length a will be 7 cm + 4 cm.

 

This is shown in the diagram below.

 

 

This means that a is 7 cm + 4 cm = 11 cm.

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

  • Question 1

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
6
EDDIE SAYS
9 - 3 = 6 cm
  • Question 2

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
9
EDDIE SAYS
6 + 3 = 9 cm
  • Question 3

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
13
EDDIE SAYS
18 - 5 = 13 cm
  • Question 4

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
16
EDDIE SAYS
11 + 5 = 16 cm
  • Question 5

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
9
EDDIE SAYS
14 - 5 = 9 cm
  • Question 6

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
5
EDDIE SAYS
8 - 3 = 5 cm
  • Question 7

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
6
EDDIE SAYS
20 - 14 = 6 cm
  • Question 8

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
11
EDDIE SAYS
25 - 14 = 11 cm
  • Question 9

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
5
EDDIE SAYS
12 - 7 = 5 cm
  • Question 10

The diagram shows two rectangles.

 

 

Work out the length a in cm.

(Just write the number.)

CORRECT ANSWER
23
EDDIE SAYS
18 + 5 = 23 cm
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