<PRE><B>Question 1051400</B>
let w = width and l = length, then we have two formulas to consider
:
1) 6l + 4w = 200
:
2) Area = 3 * l * w
:
solve equation 1) for w
:
w = 50 - 1.5 * l
:
substitute for w in equation 2
:
Area = 3 * l * (50 - 1.5 * l)
:
Area = -4.5l^2 + 150l
:
take first derivative and set = 0 and solve for l
:
-9l = -150
:
l = 16.6667 use 16.6 feet
w = 50 - (1.5 * 16.6) = 25.1 use 25
:
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Area of each rectangular corral is 16.6 * 25 = 415 square feet
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:
Note that 6(16.6) + 4(25) = 199.6 feet
:
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