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)