Two sides of a parallelogram are 28 feet and 84 feet. The measure of the angle between these sides is 66°. Find the area of the parallelogram to the nearest square foot.

The area of a parallelogram can be found using the formula:

Area = base * height

However, in this case, we are not given the height. We are given the length of the base, one side, and the angle between them. We can use these to find the height using trigonometry. The height (h) can be found using the formula:

h = side * sin(angle)

So, let's calculate the height:

h = 84 feet * sin(66°)

After calculating the above expression, we get h ≈ 76.6 feet.

Now, we can substitute the base and the height into the area formula:

Area = base * height Area = 28 feet * 76.6 feet

After calculating the above expression, we get Area ≈ 2144.8 square feet.

Rounding to the nearest square foot, the area of the parallelogram is approximately 2145 square feet.