Question

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

Answer 1

• 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

Answer 2

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)`