The adjacent sides of the parallelogram are 20 cm and 48 cm, and one of its angles between

The adjacent sides of the parallelogram are 20 cm and 48 cm, and one of its angles between the sides is 30 °. Find the area of the parallelogram.

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

AB = CD;

BC = AD.

In order to calculate the area of a parallelogram, we use the area formula through the sides and the sine of the angle between them:

S = a ∙ b ∙ sin α = a ∙ b ∙ sin ß, where:

S is the area of the parallelogram;

a, b – sides of the parallelogram;

α, ß – angles of the parallelogram.

sin 30º = 1/2;

S = 2048 ∙ 1/2 = 960/2 = 480 cm2.

Answer: the parallelogram area is 480 cm2.