SOLUTION: A regular storage area is to be constructed along the side of a tall building. A security fence is required along the remaining three sides of the area. What is the maximum area
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Question 199521: A regular storage area is to be constructed along the side of a tall building. A security fence is required along the remaining three sides of the area. What is the maximum area that can be enclosed with 800m of fencing? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A regular storage area is to be constructed along the side of a tall building.
A security fence is required along the remaining three sides of the area.
What is the maximum area that can be enclosed with 800m of fencing?
:
Let x = width of the fenced area
let L = length
;
Perimeter with 3 sides:
L + 2x = 800
L = (800-2x)
:
Area = x * L
Replace L with (800-2x)
A = x(800-2x)
A = -2x^2 + 800x
:
Find the max area by finding the axis of symmetry: x = -b/2a
In this equation a=-2; b= 800
x =
x =
x = +200 m, width for max area
:
Find max area, x=200
A = -2(200^2) + 800(200)
A = -2(40000) + 160000
A = -80000 + 160000
A = 80,000 sq/meters is max area
