Two sides of a parallelogram are 9.5 feet and 4.9 feet. The measure of the angle between these sides is 96°. Find the area of the parallelogram to the nearest 10th of a square foot

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Answer:

The area of the parallelogram is of 46.3 square feet.

Step-by-step explanation:

Area of a parallelogram:

The area of a parallelogram, given two sides a and b and the angle C between them, is given by:

[tex]A = ab\sin{C}[/tex]

In this question:

[tex]a = 9.5, b = 4.9, C = 96º[/tex]

Sides in feet, so area in square feet.

Area

[tex]A = ab\sin{C} = 9.5*4.9\sin{96º} = 46.3[/tex]

The area of the parallelogram is of 46.3 square feet.