Answer:
12[tex]\sqrt{3}[/tex] [tex]cm ^{2}[/tex]
Step-by-step 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 * ([tex]\sqrt{3}[/tex] / 2)
A = 12[tex]\sqrt{3}[/tex] [tex]cm^{2}[/tex]
