Marquise has 200200200 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by:
A(x)=-x^2+100xA(x)=−x
2
+100xA, left parenthesis, x, right parenthesis, equals, minus, x, squared, plus, 100, x
WHAT IS THE MAXIMUM AREA POSSIBLE SQUARE METERS

Hence the maximum possible area is 2500 square meters

Given the area of the rectangular garden expressed as;

The maximum area occurs when dA(x)/dx = 0

Next is to get the maximum area possible. Substitute x = 50 into the original function as shown;

Hence the maximum possible area is 2500 square meters

Learn more here:

215.92 dollars is the answer