Examples with solutions for Area of a Parallelogram: Calculating in two ways

Exercise #1

ABCD parallelogram, it is known that:

BE is perpendicular to DE

BF is perpendicular to DF

BF=8 BE=4 AD=6 DC=12

Calculate the area of the parallelogram in 2 different ways

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Video Solution

Step-by-Step Solution

In this exercise, we are given two heights and two sides.

It is important to keep in mind: The external height can also be used to calculate the area

Therefore, we can perform the operation of the following exercise:

The height BF * the side AD

8*6

 

The height BE the side DC
4
*12

 The solution of these two exercises is 48, which is the area of the parallelogram.

 

Answer

48 cm²

Exercise #2

ABCD is a parallelogram.

AE is perpendicular to DC.
CF is perpendicular to AD.

AE = 3.5

CF = 7

DC = 8

AD = 4

Calculate the area of the parallelogram.

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Video Solution

Answer

28 cm²

Exercise #3

Below is the parallelogram ABCD.

AD = 2X

DC = 1.5X

FC = 7

Calculate AE.

1.5X1.5X1.5X777AAABBBCCCDDDFFFEEE2X

Video Solution

Answer

913 9\frac{1}{3} cm

Exercise #4

Given the parallelogram ABCD

Find AF

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Video Solution

Answer

4.5 4.5 cm

Exercise #5

Given the parallelogram ABCD

Find BF

666999555AAABBBCCCDDDEEEF

Video Solution

Answer

7.5 7.5 cm

Exercise #6

Given the parallelogram ABCD

Find DC

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Video Solution

Answer

It is not possible to calculate

Exercise #7

Look at the parallelogram ABCD.

AB = 12 cm

ED = 8 cm

BC = 10 cm

Calculate the length of DF.

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Video Solution

Answer

9.6 9.6 cm