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.

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) (Show Source): You can put this solution on YOUR website!

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

RELATED QUESTIONS
Find the area of a parallelogram with sides 10 feet and 40 feet and an included angle of... (answered by hokies)

1. A parallelogram has sides 15 cm and 25 cm and their includeded angle is 74 degrees a. (answered by CubeyThePenguin)

find the area of a parallelogram with an angle of 65 degrees 16 minutes included between... (answered by Theo)

How do you find the area of a parallelogram with sides 8 and 14 and an included angle of... (answered by richwmiller)

How do you find the area of a parallelogram with sides 10 feet and 40 feet and an... (answered by drk)

The sides of a parallelogram are 55 cm and 84cm. The smaller angle of the parallelogram... (answered by ikleyn)

Find the area of the parallelogram with pairs of sides of length 9 and 3, and an angle 36 (answered by lwsshak3)

The area of a triangle is equal to 49 sq cm and two of its sides measure 17 cm and 16 cm. (answered by ikleyn)

The area of a triangle is equal to 41 sq cm and two of its sides measure 17 cm and 16 cm. (answered by rothauserc,ikleyn,MathTherapy,Alan3354,jim_thompson5910)