The sides of a parallelogram are 10 cm and 12 cm, and one of the angles is 150 degrees.

Given: ABCD – pm;

AB = 10 cm;

AD = 12 cm;

angle BAD = 150 0;

Find: S ABCD -?

Solution:

The area of a parallelogram is equal to the product of its two sides by the sine of the angle between them.

S ABCD = AB * AD * sin (BAD);

S ABCD = 10 * 12 * sin (150);

Sine 150 is a tabular value and it is 1/2, we substitute its value into the formula.

S ABCD = 10 * 12 * sin (150) = 10 * 12 * 1/2 = 60 (sq. Units);

Answer: S ABCD = 60 square units