Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `6` and sides C and D have a length of `8`. If the angle between sides A and C is `pi/3`, what is the area of the parallelogram?

Answer 1

`Area = 41.6`

Explanation:

The area of a parallelogram is similar to a triangle in that the 'effective' height must be used instead of the side length:
`Area = b xx h`
From the lengths and angle the length of the "h" can be calculated.
`h = sin(pi/3) xx 6`
`h = 5.2`
`Area = 8 xx 5.2 = 41.6`