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

Exercise #1

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

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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 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:

SABCD=10×7=70cm2 S_{ABCD}=10\times7=70cm^2

Answer

70

Exercise #2

Calculate the area of the following parallelogram:

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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 #3

Calculate the area of the following parallelogram:

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Video Solution

Answer

60 cm²

Exercise #4

ABCD is a parallelogram.

AH is the height.

DC = 6
AH = 3

What is the area of the parallelogram?

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Video Solution

Answer

18 cm²

Exercise #5

ABCD is a parallelogram.

AH is its height.

Given in cm:

AB = 7

AH = 2

Calculate the area of the parallelogram.

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Video Solution

Answer

14 cm².

Exercise #6

Given the parallelogram of the figure

What is your area?

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Video Solution

Answer

28cm2 28\operatorname{cm}^2

Exercise #7

Given the parallelogram of the figure

What is your area?

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Video Solution

Answer

24 24

Exercise #8

Below is the parallelogram ABCD.

AEC = 90°

What is the area of the parallelogram?

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Video Solution

Answer

99 99 cm².

Exercise #9

Look at the parallelogram in the figure.

h = 6

What is the area of the parallelogram?

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Video Solution

Answer

78 78 cm².

Exercise #10

Given the parallelogram of the figure

What is your area?

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Video Solution

Answer

45 45 cm².

Exercise #11

AB = 15 cm

The height of the rectangle is 6 cm.

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Calculate the area of the parallelogram.

Video Solution

Answer

90

Exercise #12

AB = 10 cm

The height of the rectangle is 5 cm.

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Calculate the area of the parallelogram.

Video Solution

Answer

50

Exercise #13

AB = 32 cm

The height of the rectangle is 15 cm.

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Calculate the area of the parallelogram.

Video Solution

Answer

480

Exercise #14

AB = 5 cm

The height of the rectangle is 2 cm.

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Calculate the area of the parallelogram.

Video Solution

Answer

10

Exercise #15

AB = 25 cm

The height of the rectangle is 13 cm.

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Calculate the area of the parallelogram.

Video Solution

Answer

325

Exercise #16

AB = 3 cm

Height of the rectangle = 1.5 cm

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Calculate the area of the parallelogram.

Video Solution

Answer

4.5

Exercise #17

AB = 12 cm

The height of the rectangle is 4 cm.

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Calculate the area of the parallelogram.

Video Solution

Answer

48

Exercise #18

AB = 17 cm

The height of the rectangle is 8 cm.

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Calculate the area of the parallelogram.

Video Solution

Answer

136

Exercise #19

AB = 7 cm

Height of the rectangle = 3.5 cm

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Calculate the area of the parallelogram.

Video Solution

Answer

24.5

Exercise #20

AB = 6 cm

The height of the rectangle is 2 cm.

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Calculate the area of the parallelogram.

Video Solution

Answer

12