Answer :
Answer:
Option A.
Step-by-step explanation:
Area of a square is
[tex]A=x^2[/tex] .... (1)
where, x is side length.
The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.
[tex]\dfrac{dx}{dt}=2[/tex]
It is given that bob currently owns 250,000 square feet of land.
Fist find the length of each side.
[tex]A=250000[/tex]
[tex]x^2=250000[/tex]
Taking square root on both sides.
[tex]x=500[/tex]
Differentiate with respect to t.
[tex]\dfrac{dA}{dt}=2x\dfrac{dx}{dt}[/tex]
Substitute x=500 and [tex]\frac{dx}{dt}=2[/tex] in the above equation.
[tex]\dfrac{dA}{dt}=2(500)(2)[/tex]
[tex]\dfrac{dA}{dt}=2000[/tex]
Farmer bob is losing 2,000 square feet of land per year.
Therefore, the correct option is A.