Question

What is the area of the parallelogram? 48 sqrt3 cm^2 48 cm^2 24 sqrt3 cm^2 24 cm^2

Answer 1

The area of a parallelogram is base times height. 

We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse

sin(60°) = opp/hyp = x/6
√3/2 = x/6     Multiply both sides by 6
3√3 = x
x = 3√3

The height is 3 √3

Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²

Answer is C) 24 √3 cm²