Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `3` and sides C and D have a length of `7`. If the angle between sides A and C is `(7 pi)/12`, what is the area of the parallelogram?

Answer 1

20.28 square units

Explanation:

The area of a parallelogram is given by the product of the adjacent sides multiplied by the sine of the angle between the sides.
Here the two adjacent sides are 7 and 3 and the angle between them is `7 pi / 12`
Now `Sin 7 pi / 12 radians = sin 105 degrees = 0.965925826`
Substituting, A = 7 * 3 * 0.965925826 = 20.28444 sq units.