Answer:
Step-by-step explain to solve for the maximum area, the first derivative should be solved and equate it to zero, then solve for x.
A = 37x - x^2
dA / dx = 37 - 2x
equate dA / dx = 0
0 = 37 - 2x
2x = 37
x = 37 / 2
x = 18.5 ft
so the maximum area is
A = 37x - x^2
A = 37( 18.5) - 18.5^2
A = 342.25 sq ft
so the answer is letter B