The diagonals of the parallelogram are 9 cm and 4 cm, and the angle between them is 120.

The diagonals of the parallelogram are 9 cm and 4 cm, and the angle between them is 120. Find the area of the parallelogram

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

Since for the condition of the problem we know the length of the diagonals AC, ВD and the value of the angle between them, the following formula is suitable for calculating the area:

S = 1/2 * D * d * sin α, where:

S is the area of the parallelogram;

D is the length of the larger AC diagonal;

d is the length of the smaller VD diagonal;

α is the angle between the diagonals;

sin 120º ≈ 0.866;

S = 1/2 * 9 * 4 * 0.866 ≈ 15.6 cm2.

Answer: the area of the parallelogram is 15.6 cm2.