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
Algebra.Com
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): You can put this solution on YOUR website!
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
RELATED QUESTIONS
A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for... (answered by ankor@dixie-net.com)
I have tried and tried to solve this and another problem. I am in college and on the... (answered by josmiceli)
A rancher needs to enclose two adjacent rectangular​ corrals, one for cattle and one... (answered by ikleyn)
a rancher has 180 ft of fencing to enclose two adjacent rectangular corrals. A river... (answered by ankor@dixie-net.com)
A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals. The... (answered by scott8148)
A rancher has 1200 feet of fencing to enclose two adjacent rectangular corrals of equal... (answered by ikleyn,advanced_Learner)
A farmer wants to enclose two adjacent rectangular regions next to a river, one sheep and (answered by ankor@dixie-net.com)
A rancher has 216 feet of fencing to enclose two adjacent rectangular rectangular... (answered by josgarithmetic)
A rancher needs two adjacent corrals, one for cattle and one for sheep. If a river forms... (answered by Alan3354)