Parallelogram Area Calculation: Using Perpendicular Heights BE=4 and BF=8

Question

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

00:00 Find BE

00:05 To find the area of the parallelogram, multiply the height (FB) by side (AD)

00:10 Let's substitute appropriate values and solve for the area

00:16 Now let's use the same area formula to find the second height (BE)

00:20 Let's substitute appropriate values and solve for BE

00:29 And this is the solution to the question

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