Question

Two sides of a parallelogram are 530 feet and 120 feet. The measure of the angle between these sides is 138°. Find the area of the parallelogram to the nearest square foot.

Answer 1

Answer:

42,557 ft²

Step-by-step explanation:

Area of the parallelogram = 2×(Area of ∆)

Area of parallelogram = 2×(½×a×b×sin(θ))

Where,

a = 120 ft

b = 530 ft

θ = 138°

Plug in the values into the formula

Area of parallelogram = 2×(½×120×530×sin(138))

= 120×530×sin(138)

= 42,557 ft² (nearest square foot)