Area of a Parallelogram: Calculating in two ways

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

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.

48 cm²

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.

28 cm²

Look at the parallelogram ABCD.

AB = 12 cm

ED = 8 cm

BC = 10 cm

Calculate the length of DF.

$9.6$ cm

Given the parallelogram ABCD

Find DC

It is not possible to calculate

Given the parallelogram ABCD

Find BF

$7.5$ cm

Given the parallelogram ABCD

Find AF

$4.5$ cm

Below is the parallelogram ABCD.

AD = 2X

DC = 1.5X

FC = 7

Calculate AE.

$9\frac{1}{3}$ cm