SOLUTION: A rectangular field is to have an area of 1100 and is to be surrounded by a fence. The cost of the fence is 17 dollars per meter of length. What is the minimum cost this can be do
Algebra ->
Test
-> Lessons
-> SOLUTION: A rectangular field is to have an area of 1100 and is to be surrounded by a fence. The cost of the fence is 17 dollars per meter of length. What is the minimum cost this can be do
Log On
Question 1059654: A rectangular field is to have an area of 1100 and is to be surrounded by a fence. The cost of the fence is 17 dollars per meter of length. What is the minimum cost this can be done for? Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! The area of the rectangle is,
The length of fencing is the perimeter of the rectangle or,
From the first equation,
Substituting,
Graphing the function,
.
.
. .
.
.
.
The solution for a minimum P is which is exactly equal to.
So then, will give you the area with the minimum perimeter or lowest cost of fencing.
So then the cost is,
.