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

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.

101010777AAABBBCCCDDDEEE

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 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

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

Calculate the area of the parallelogram.

6664.54.54.5

Video Solution

Answer

27

Exercise #4

AB = 5 cm

The height of the rectangle is 2 cm.

AAABBBDDDCCC52

Calculate the area of the parallelogram.

Video Solution

Answer

10

Exercise #5

AB = 6 cm

The height of the rectangle is 2 cm.

AAABBBDDDCCC62

Calculate the area of the parallelogram.

Video Solution

Answer

12

Exercise #6

AB = 17 cm

The height of the rectangle is 8 cm.

AAABBBDDDCCC178

Calculate the area of the parallelogram.

Video Solution

Answer

136

Exercise #7

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

555888333

Video Solution

Answer

It is not possible to calculate.

Exercise #8

ABCD is a parallelogram.

AH is the height.

DC = 6
AH = 3

What is the area of the parallelogram?

666333AAABBBCCCDDDHHH

Video Solution

Answer

18 cm²

Exercise #9

AB = 7 cm

Height of the rectangle = 3.5 cm

AAABBBDDDCCC73.5

Calculate the area of the parallelogram.

Video Solution

Answer

24.5

Exercise #10

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

555777

Video Solution

Answer

35

Exercise #11

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

888555

Video Solution

Answer

40

Exercise #12

AB = 25 cm

The height of the rectangle is 13 cm.

AAABBBDDDCCC2513

Calculate the area of the parallelogram.

Video Solution

Answer

325

Exercise #13

AB = 10 cm

The height of the rectangle is 5 cm.

AAABBBDDDCCC105

Calculate the area of the parallelogram.

Video Solution

Answer

50

Exercise #14

AB = 12 cm

The height of the rectangle is 4 cm.

AAABBBDDDCCC124

Calculate the area of the parallelogram.

Video Solution

Answer

48

Exercise #15

AB = 32 cm

The height of the rectangle is 15 cm.

AAABBBDDDCCC3215

Calculate the area of the parallelogram.

Video Solution

Answer

480

Exercise #16

AB = 3 cm

Height of the rectangle = 1.5 cm

AAABBBDDDCCC31.5

Calculate the area of the parallelogram.

Video Solution

Answer

4.5

Exercise #17

Calculate the area of the following parallelogram:

101010888101010888666

Video Solution

Answer

60 cm²

Exercise #18

ABCD is a parallelogram.

AH is its height.

Given in cm:

AB = 7

AH = 2

Calculate the area of the parallelogram.

777222AAABBBCCCDDDHHH

Video Solution

Answer

14 cm².

Exercise #19

AB = 15 cm

The height of the rectangle is 6 cm.

AAABBBDDDCCC156

Calculate the area of the parallelogram.

Video Solution

Answer

90

Exercise #20

Given the parallelogram of the figure

What is your area?

888333AAABBBCCCDDDEEE

Video Solution

Answer

24 24