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

Exercise #1

Calculate the area of the following parallelogram:

666555

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.

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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 #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