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*100 points* What is the area of the parallelogram?

*100 points* What is the area of the parallelogram?-example-1
User Nerohmot
by
7.9k points

2 Answers

8 votes
  • SinØ=Perpendicular/Hypotenuse

So

Opposite angles of a parallelogram are equal

Here

Height of parallelogram:-

  • 4sin60°

Now

Area

  • Base×Height
  • 6×4sin60
  • 24sin60
  • 24(√3/2)
  • 12√3cm²
User Flex Monkey
by
8.6k points
6 votes

Answer:

12
√(3)
cm ^(2)

Explanation:

'To determine the area of the parallelogram, you need the value of h so that you can compute A = b * h

sin(A) = opposite / hypotenuse = h / a

This means that you can compute h like this:

h = sin(A) * a

Your area is...

A = b * h = sin(A) * a * h'

Now, you can fill in the numbers for the variables and result to your answer.

Another short way to find you answer is to use a very similar equation...

A = (h) * (a) * sin(A)

A = (4) * (6) * sin(60°)

A = 24sin(60°)

A = 24 * (
√(3) / 2)

A = 12
√(3)
cm^(2)

User Rodrigo Ferreira
by
8.4k points

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