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Calculate Areas: Parallelograms

In this worksheet, students must calculate the areas of the given parallelograms.

'Calculate Areas: Parallelograms' worksheet

Key stage:  KS 2

Curriculum topic:  Measurement

Curriculum subtopic:  Calculate Areas

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Use the following formula to work out the area of a rectangle:

Rectangle area

 

We must know:

  • the base length
  • the perpendicular height from the base to the top.

 

Area of rectangle = base × height

 

 

Now, try this with a piece of paper.

Start with a rectangle.

Rectangle

 

Cut off a right-angled triangle from the left-hand side and separate the two pieces.

The area of the two pieces together will be the same as the original rectangle.

Cut right-angled triangle from the left-hand side of rectangle

 

Move the right-angled triangle over to the right-hand side.

The area still hasn't changed.

Move right-angled triangle to right-hand side

 

Join the two pieces to form a parallelogram.

The area of this parallelogram is the same as the original rectangle.

Join to the piece to form a parallelogram

 

 

Area of Parallelograms

Parallelogram area

We must know:

  • the base length
  • the perpendicular height from the base to the top. (NOT the slant height)

 

Area of parallelogram = base × height

 

 

Example

Calculate the area of this parallelogram in cm2.

Find the area of a parallelogram

 

Answer

To calculate th area, we must know:

  • the base length
  • the perpendicular height from the base to the top. (NOT the slant height)

 

The base length is 10 cm.

The slant height is 7 cm, which we do not need.

The perpendicular height is 6 cm.

 

Area = Base × Height = 10 × 6 = 60 cm2

Select the correct formula to calculate the area of a parallelogram.

area = ½ base × height

area = base × perpendicular height

area = base × slant height

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

Which of these two parallelograms has the larger area?

The base lengths and the perpendicular heights are shown.

 

Compare the area of parallelogram A and B

A

B

cannot tell

Which of these two parallelograms has the larger area?

The base lengths and the perpendicular heights are shown.

 

Compare the area of parallelogram A and B

A

B

cannot tell

Which of these two parallelograms has the larger area?

 

Compare the area of parallelogram A and B

A

B

cannot tell

Select all the parallelograms which have an area of 160 cm2.

Compare the areas of parallelograms A, B and C

A

B

C

  • Question 1

Select the correct formula to calculate the area of a parallelogram.

CORRECT ANSWER
area = base × perpendicular height
EDDIE SAYS
The area uses the perpendicular height, not the slant height.
  • Question 2

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

CORRECT ANSWER
60
EDDIE SAYS
Base length = 10 cm
Perpendicular height = 6 cm
Area = 10 × 6 = 60 cm2
  • Question 3

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

CORRECT ANSWER
45
EDDIE SAYS
Base length = 15 cm
Perpendicular height = 3 cm
Area = 15 × 3 = 45 cm2
  • Question 4

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

CORRECT ANSWER
14
EDDIE SAYS
Base length = 7 cm
Perpendicular height = 2 cm
Area = 7 × 2 = 14 cm2
  • Question 5

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

CORRECT ANSWER
60
EDDIE SAYS
Base length = 12 cm
Perpendicular height = 5 cm
Area = 12 × 5 = 60 cm2
  • Question 6

Calculate the area of this parallelogram in cm2.

(Just write the number.)

 

Area of a parallelogram

CORRECT ANSWER
14
EDDIE SAYS
Base length = 7 cm
Perpendicular height = 2 cm
Area = 7 × 2 = 14 cm2
  • Question 7

Which of these two parallelograms has the larger area?

The base lengths and the perpendicular heights are shown.

 

Compare the area of parallelogram A and B

CORRECT ANSWER
B
EDDIE SAYS
Area of A = 13 × 5 = 65 cm2
Area of B = 6 × 11 = 66 cm2
  • Question 8

Which of these two parallelograms has the larger area?

The base lengths and the perpendicular heights are shown.

 

Compare the area of parallelogram A and B

CORRECT ANSWER
A
EDDIE SAYS
Area of A = 2 × 11 = 22 cm2
Area of B = 7 × 3 = 21 cm2
  • Question 9

Which of these two parallelograms has the larger area?

 

Compare the area of parallelogram A and B

CORRECT ANSWER
cannot tell
EDDIE SAYS
Area of A = 8 × 10 = 80 cm2
We cannot work out the area of B because the perpendicular height is not shown.
  • Question 10

Select all the parallelograms which have an area of 160 cm2.

Compare the areas of parallelograms A, B and C

CORRECT ANSWER
A
C
EDDIE SAYS
Area of A = 8 × 20 = 160 cm2
We cannot work out the area of B because the perpendicular height is not shown. Area of C = 16 × 10 = 160 cm2
---- OR ----

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