Find the area of a parallelogram if its sides are 20cm and 28cm, and the angle between them is 30 degrees.
February 11, 2021 | education
| 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. Consequently:
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.
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