Find the area of the parallelogram ABCD if AB = 12cm, BC = 15cm, angle A = 30 degrees.

Given:
parallelogram ABCD,
AB = 12 centimeters,
BC = 15 centimeters,
angle A = 30 degrees.
Find the area of the parallelogram, that is, S ABCD -?
Decision:
Consider a parallelogram ABCD. The area of a parallelogram is the product of the lengths of its sides by the sine angle between them, that is:
S ABCD = AB * BC * sin A;
S ABCD = 12 * 15 * sin 30;
S ABCD = 12 * 15 * 1/2;
S ABCD = 12 * 1/2 * 15;
S ABCD = 6 * 15;
S ABCD = 90 square centimeters.
Answer: the area of the parallelogram ABCD is 90 square centimeters.