SOLUTION: A parallelogram has sides of length 4 cm and 9 cm with an included angle of 40 degrees. Find the area of the parallelogram to the nearest tenth of a square cm.

Algebra ->  Trigonometry-basics -> SOLUTION: A parallelogram has sides of length 4 cm and 9 cm with an included angle of 40 degrees. Find the area of the parallelogram to the nearest tenth of a square cm.       Log On


   



Question 1138355: A parallelogram has sides of length 4 cm and 9 cm with an included angle of 40 degrees. Find the area of the parallelogram to the nearest tenth of a square cm.
Answer by jim_thompson5910(35256) About Me  (Show Source):
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We'll use the sine function to help compute the area. Make sure your calculator is in degree mode.

Area of parallelogram = (side1)*(side2)*sin(included angle)
Area of parallelogram = (4)*(9)*sin(40)
Area of parallelogram = 36*sin(40)
Area of parallelogram = 36*0.64278760968653
Area of parallelogram = 23.140353948715
Area of parallelogram = 23.1

Answer: 23.1 square cm