Area of a Parallelogram: Applying the formula

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

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

We can identify that 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 substitute into the formula and calculate:

6*5=30

And that's the solution!

Answer

30 cm²

Exercise #2

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

Video Solution

Step-by-Step Solution

Since 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

35

Exercise #5

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

Video Solution

Answer

40

Question 1

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

Question 2

Calculate the area of the following parallelogram:

Question 3

AB = 15 cm

The height of the rectangle is 6 cm.

Calculate the area of the parallelogram.

Question 4

AB = 10 cm

The height of the rectangle is 5 cm.

Calculate the area of the parallelogram.

Question 5

AB = 32 cm

The height of the rectangle is 15 cm.

Calculate the area of the parallelogram.

Exercise #6

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

Video Solution

Answer

It is not possible to calculate.

Exercise #7

Calculate the area of the following parallelogram:

Video Solution

Answer

60 cm²

Exercise #8

AB = 15 cm

The height of the rectangle is 6 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

90

Exercise #9

AB = 10 cm

The height of the rectangle is 5 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

50

Exercise #10

AB = 32 cm

The height of the rectangle is 15 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

480

Question 1

ABCD is a parallelogram.

AH is the height.

DC = 6
AH = 3

What is the area of the parallelogram?

Question 2

AB = 5 cm

The height of the rectangle is 2 cm.

Calculate the area of the parallelogram.

Question 3

ABCD is a parallelogram.

AH is its height.

Given in cm:

AB = 7

AH = 2

Calculate the area of the parallelogram.

Question 4

AB = 25 cm

The height of the rectangle is 13 cm.

Calculate the area of the parallelogram.

Question 5

AB = 3 cm

Height of the rectangle = 1.5 cm

Calculate the area of the parallelogram.

Exercise #11

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 #12

AB = 5 cm

The height of the rectangle is 2 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

10

Exercise #13

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 #14

AB = 25 cm

The height of the rectangle is 13 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

325

Exercise #15

AB = 3 cm

Height of the rectangle = 1.5 cm

Calculate the area of the parallelogram.

Video Solution

Answer

4.5

Question 1

AB = 12 cm

The height of the rectangle is 4 cm.

Calculate the area of the parallelogram.

Question 2

AB = 17 cm

The height of the rectangle is 8 cm.

Calculate the area of the parallelogram.

Question 3

AB = 7 cm

Height of the rectangle = 3.5 cm

Calculate the area of the parallelogram.

Question 4

AB = 6 cm

The height of the rectangle is 2 cm.

Calculate the area of the parallelogram.

Question 5

Given the parallelogram of the figure

What is your area?

Exercise #16

AB = 12 cm

The height of the rectangle is 4 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

48

Exercise #17

AB = 17 cm

The height of the rectangle is 8 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

136

Exercise #18

AB = 7 cm

Height of the rectangle = 3.5 cm

Calculate the area of the parallelogram.

Video Solution

Answer

24.5

Exercise #19

AB = 6 cm

The height of the rectangle is 2 cm.

Calculate the area of the parallelogram.

Video Solution

Answer

12

Exercise #20

Given the parallelogram of the figure

What is your area?

Video Solution

Answer

$28\operatorname{cm}^2$