SOLUTION: a rancher has 180 ft of fencing to enclose two adjacent rectangular corrals. A river forms one side of the corrals. Suppose the width of each corral is x ft. Express the total area

Question 570796: a rancher has 180 ft of fencing to enclose two adjacent rectangular corrals. A river forms one side of the corrals. Suppose the width of each corral is x ft. Express the total area of the two corrals as a function of x. Find the domain of the function.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a rancher has 180 ft of fencing to enclose two adjacent rectangular corrals.
A river forms one side of the corrals. Suppose the width of each corral is x ft.
Express the total area of the two corrals as a function of x. Find the domain of the function.
:
That would be 3 widths and 1 length, therefore
L + 3x = 180
L = (180-3x)
:
A = L * X
replace L with (180-3x)
A = x(180-3x)
A = -3x^2 + 180x; total area as a function of x
:
Graph y - -3x^2+180x

You can see max area when x=30 ft and domain is 0 to 60
RELATED QUESTIONS
A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for... (answered by ankor@dixie-net.com)

a rancher has 360 yds of fencing with which to enclose two adjacent rectangular corrals-... (answered by ankor@dixie-net.com)

A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one... (answered by ikleyn)

I have tried and tried to solve this and another problem. I am in college and on the... (answered by josmiceli)

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 rancher has 216 feet of fencing to enclose two adjacent rectangular rectangular... (answered by josgarithmetic)

A rancher has 216 feet of fencing to enclose two adjacent rectangular corrals. What... (answered by josgarithmetic,ikleyn)

a rancher has 100 meters of fencing to enclose two adjancet rectangular corrals. the... (answered by psbhowmick,ewatrrr)