SOLUTION: a rancher has 360 yds of fencing with which to enclose two adjacent rectangular corrals- one for sheep and one for cows. A river forms one side

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Question 123214This question is from textbook college algebra
: a rancher has 360 yds of fencing with which to enclose two adjacent rectangular corrals- one for sheep and one for cows. A river forms one side - suppose the width of each corral is x yards
a- express the total area of the two corrals as a function of x
b- find the domain of the function
c- using the graph if the function shown below determine the dimensions that yield the maximum area
60, 10,800 This question is from textbook college algebra

Answer by ankor@dixie-net.com(22740) (Show Source):
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A rancher has 360 yds of fencing with which to enclose two adjacent rectangular corrals- one for sheep and one for cows. A river forms one side - suppose the width of each corral is x yards
:
Find the length (L) in terms of x: (width is given as x)
L + 3x = 360
L = (360 - 3x)
:
a- express the total area of the two corrals as a function of x
A = x(360-3x)
A = 360x - 3x^2
:
b- find the domain of the function
The domain in this application would only the values of x where y is positive
0 to the x intercept which is 120
:
c- using the graph of the function shown below determine the dimensions that yield the maximum area
:

:
the graph indicates that max area occurs when x = 60
Find the length:
L = 360 - 3(60)
L = 360 - 180
L = 180
:
Dimensions are 180 by 60 for max area

SOLUTION: a rancher has 360 yds of fencing with which to enclose two adjacent rectangular corrals- one for sheep and one for cows. A river forms one side - suppose the width of each corral i