Homework SourseA dairy farmer plans to enclose a rectangular pasture adjace
A dairy farmer plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd, the pasture must contain 217,800 square meters. No fencing is required along the river. What dimensions will use the least amount of fencing? (See figure below.)
| x | = | m |
| y | = | m |
Solution
Area = 217800 mt^2
x*y = 217800
Length of fence(L) = 2y +x
= 2y +217800/y
Least amount of L : dL/dy =0
dL/dy = 2 -217800/y^2 =0
y = 330 mt
So, x = 217800/330 = 660 mt
