# The adjacent sides of the parallelogram are 12 cm and 5 √2 cm, and one of its angles is 135 degrees.

January 28, 2021 | education

| **The adjacent sides of the parallelogram are 12 cm and 5 √2 cm, and one of its angles is 135 degrees. Find the area of the parallelogram.**

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

Then Savsd = AB * BC * SinABC = AB * BC * Sin135 = 5 * √2 * 12 * √2 / 2 = 60 cm2.

Answer: The area of the parallelogram is 60 cm2.

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