Find the area of a parallelogram if its sides are 20cm and 28cm, and the angle between them is 30 degrees.

Given:

parallelogram ABCE,

AB = 20 centimeters,

EA = 28 centimeters,

angle A = 30 degrees.

Find the area of the parallelogram ABCE, that is, S ABCE -?

Decision:

Consider a parallelogram ABCE. The area of a parallelogram is equal to the product of two sides by the sine of the angle between them. Hence:

S ABCE = AB * AE * sin A;

S ABCE = AB * AE * sin 30;

S ABCE = 20 * 28 * 1/2;

S ABCE = 10 * 28;

S ABCE = 280 cm ^ 2.

Answer: 280 cm ^ 2.