Question

Two sides of a parallelogram are 520 feet and 740 feet. The measure of the angle between these sides is 141°. Find the area of the parallelogram to the nearest square foot.

Answer 1

Answer:

The area of the parallelogram is of 242162 square feet.

Step-by-step explanation:

Area of a parallelogram, given two sides and angle:

When we are given two sides a and b of a parallelogram, and the angle C between them, the area of the parallelogram is:

$A = ab\sin{C}$

In this question:

$a = 520, b = 740, C = 141º$

Units in feet, so the area will be in square feet.

$A = ab\sin{C} = 520*740\sin{141º} = 242162$

The area of the parallelogram is of 242162 square feet.