Area of a Parallelogram: Applying the formula

Calculate The Missing Side based on the formula Calculating in two ways Finding Area based off Perimeter and Vice Versa Using additional geometric shapes Using congruence and similarity Using external height Using Pythagoras' theorem Using ratios for calculation Using variables Verifying whether or not the formula is applicable

Question 1

Calculate the area of the following parallelogram:

Question 2

Calculate the area of the parallelogram according to the data in the diagram.

Question 3

A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.

Calculate the area of the parallelogram.

Question 4

Calculate the area of the parallelogram using the data in the figure:

Question 5

Calculate the area of the parallelogram using the data in the figure:

Examples with solutions for Area of a Parallelogram: Applying the formula

Exercise #1

Calculate the area of the following parallelogram:

Video Solution

Step-by-Step Solution

To solve the exercise, we need to remember the formula for the area of a parallelogram:

Side * Height perpendicular to the side

In the diagram, although it's not presented in the way we're familiar with, we are given the two essential pieces of information:

Side = 6

Height = 5

Let's now substitute these values into the formula and calculate to get the answer:

6 * 5 = 30

Answer

30 cm²

Exercise #2

Calculate the area of the parallelogram according to the data in the diagram.

Video Solution

Step-by-Step Solution

We know that ABCD is a parallelogram. According to the properties of parallelograms, each pair of opposite sides are equal and parallel.

Therefore: $CD=AB=10$

We will calculate the area of the parallelogram using the formula of side multiplied by the height drawn from that side, so the area of the parallelogram is equal to:

$S_{ABCD}=10\times7=70cm^2$

Answer

70

Exercise #3

A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

27

Exercise #4

Calculate the area of the parallelogram using the data in the figure:

Video Solution

Answer

It is not possible to calculate.

Exercise #5

Calculate the area of the parallelogram using the data in the figure:

Video Solution

Answer

35

Question 1

Calculate the area of the parallelogram using the data in the figure:

Question 2

Look at the parallelogram in the figure.

h = 6

What is the area of the parallelogram?

Question 3

Given the parallelogram of the figure

What is your area?

Question 4

Below is the parallelogram ABCD.

AEC = 90°

What is the area of the parallelogram?

Question 5

Given the parallelogram of the figure

What is your area?

Exercise #6

Calculate the area of the parallelogram using the data in the figure:

Video Solution

Answer

40

Exercise #7

Look at the parallelogram in the figure.

h = 6

What is the area of the parallelogram?

Video Solution

Answer

$78$ cm².

Exercise #8

Given the parallelogram of the figure

What is your area?

Video Solution

Answer

$24$

Exercise #9

Below is the parallelogram ABCD.

AEC = 90°

What is the area of the parallelogram?

Video Solution

Answer

$99$ cm².

Exercise #10

Given the parallelogram of the figure

What is your area?

Video Solution

Answer

$45$ cm².

Question 1

Given the parallelogram of the figure

What is your area?

Question 2

ABCD is a parallelogram.

AH is its height.

Given in cm:

AB = 7

AH = 2

Calculate the area of the parallelogram.

Question 3

Calculate the area of the following parallelogram:

Question 4

ABCD is a parallelogram.

AH is the height.

DC = 6
AH = 3

What is the area of the parallelogram?

Question 5

AB = 7 cm

Height of the rectangle = 3.5 cm

Calculate the area of the parallelogram.

Exercise #11

Given the parallelogram of the figure

What is your area?

Video Solution

Answer

$28\operatorname{cm}^2$

Exercise #12

ABCD is a parallelogram.

AH is its height.

Given in cm:

AB = 7

AH = 2

Calculate the area of the parallelogram.

Video Solution

Answer

14 cm².

Exercise #13

Calculate the area of the following parallelogram:

Video Solution

Answer

60 cm²

Exercise #14

ABCD is a parallelogram.

AH is the height.

DC = 6
AH = 3

What is the area of the parallelogram?

Video Solution

Answer

18 cm²

Exercise #15

AB = 7 cm

Height of the rectangle = 3.5 cm

Calculate the area of the parallelogram.

Video Solution

Answer

24.5

Question 1

AB = 5 cm

The height of the rectangle is 2 cm.

Calculate the area of the parallelogram.

Question 2

AB = 12 cm

The height of the rectangle is 4 cm.

Calculate the area of the parallelogram.

Question 3

AB = 15 cm

The height of the rectangle is 6 cm.

Calculate the area of the parallelogram.

Question 4

AB = 32 cm

The height of the rectangle is 15 cm.

Calculate the area of the parallelogram.

Question 5

AB = 10 cm

The height of the rectangle is 5 cm.

Calculate the area of the parallelogram.

Exercise #16

AB = 5 cm

The height of the rectangle is 2 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

10

Exercise #17

AB = 12 cm

The height of the rectangle is 4 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

48

Exercise #18

AB = 15 cm

The height of the rectangle is 6 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

90

Exercise #19

AB = 32 cm

The height of the rectangle is 15 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

480

Exercise #20

AB = 10 cm

The height of the rectangle is 5 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

50