Question

Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.

72√3 sq. units
36√3 sq. units
12√3 sq. units

Answer 1

The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.

9√3 in2
18√3 in2
36 in2

Answer 2

The area of a parallelogram is equal to the base * height

The angle is 60 degrees so the height can be determined by
sin(60) = height/6
height = sin(60) * 6
height = 0.86603 * 6
height = 5.19618

So the area = 5.19618 * 6
= 62.35416

(36 * sqrt(3) = 36 * 1.732 = 62.35