Question

Two sides of a parallelogram are 200 feet and 580 feet. The measure of the angle between these sides is 112°. Find the area of the parallelogram to the nearest square foot.

Answer 1

Area of the parallelogram = 107,555 square feet

Explanation:

Let

h = height of the parallelogram

sin (112°) = h/200 feet

h = sin(112°) × 200

h = 0.927184 × 200

= 185.4368 feet

h = 185.44 feet

Area of the parallelogram = base × height

= 580 feet × 185.44 feet

= 107,555.2 square feet

To the nearest square root = 107,555 square feet

Area of the parallelogram = 107,555 square feet