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

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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) About Me  (Show Source):
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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
+graph%28+300%2C+200%2C+-20%2C+80%2C+-1000%2C+3000%2C+-3x%5E2%2B180x+%29+
You can see max area when x=30 ft and domain is 0 to 60