Farmer Ed has 2,500 meters of fencing,and wants to enclose a rectangular plotthat borders on a river. If Farmer Eddoes not fence the side along the river,what is the largest area that can beenclosed?The largest area that can be enclosed

Answer:Because it is a rectangle, the area is expressed as A = xy, or length times width. Because it is next to the river, he only needs to fence three sides, so F = x + 2y. Knowing the amount of fencing available is 7500m, we get:  7500 = x + 2y        solve for x x = 7500 - 2y         substitute into the area equation A = (7500 - 2y)y     distribute A = -2y2 +7500y  You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875  x = 7500 - 2(1875) = 3750  A = 3750(1875)  = 7,031,250 m2Step-by-step explanation: