Question 42977
Let, length = x feet and width = y feet.


Length of fence available = Perimeter of the rectangle


So, 2500 = 2(Length + Width)
or 2500 = 2(x + y)
or {{{2500/2 = (x + y)}}}
or x + y = 1250
or y = 1250 - x


Thus width is (1250 - x) feet.


Now, area is given by
A = Length x Width
or {{{A = x*(1250 - x)}}}
or {{{A = 1250x - x^2}}}


Hence, option (c) is correct.