The adjacent sides of the parallelogram are 12cm and 14cm, and the acute angle is 30 degrees.

The adjacent sides of the parallelogram are 12cm and 14cm, and the acute angle is 30 degrees. Find the area of a parallelogram.

A parallelogram is a quadrangle in which opposite sides are parallel and equal to each other.

To calculate the area of the parallelogram, we use the formula for the area behind the sides and the angle between them:

S = a * b * sin α;

sin 30º = 1/2;

S = 12 * 14 * 1/2 = 168/2 = 84 cm2.

Answer: the area of the parallelogram is 84 cm2.