# Find the area of a parallelogram if its two sides are 6 and 11, and the angle between them is 300.

July 29, 2021 | education

| There are various formulas for finding the area of a parallelogram:

S = a * ha.

a = 11 (by condition);

ha = 3 (the height of the parallelogram is the leg opposite an angle of 30 °, equal to half of the hypotenuse, in a right-angled triangle, where the hypotenuse is the second side of the parallelogram).

S = 11 * 3 = 33.

If the sinuses have already passed, then we use the following formula:

S = a * b * sinα = 11 * 6 * sin 30 ° = 11 * 6 * 1/2 = 33.

Answer: the area of the parallelogram is 33 square units.

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