In parallelogram ABCD AB = 8, AD = 10 cm, angle BAD = 30 °. Find the area of the parallelogram.

Recall the formula for the area of a parallelogram:

S = a * h; to solve the problem, it is necessary to find the height of the parallelogram.

Additional construction: Draw the height from the top B to the base AD. The result will be a right-angled triangle with an angle of 30. The height will be located opposite an angle of 30, according to the property of a right-angled triangle, it will be equal to half the hypotenuse.

h = 8: 2 = 4 cm;

substitute the data into the formula:

S = 4 * 10 = 40 cm2.

Answer: the area of the parallelogram is 40 cm2.