MATH ANALYSIS
How should this be done?
Suppose you have 132 m of fencing with which to make two sidebyside rectangular enclosures against an existing wall. if the rectangular enclosures are adjacent and of the same depth what is the maximum are that can be enclosed?
asked by
anonymous

Let the combined length of the two rectangles by y
let the width be x (there will be 3 of those)
so 3x + y = 132
y = 1323x
Area = xy
= x(132x)
= x^2 + 132x
by Calculus
d(Area)/dx = 2x + 132 = 0 for a max of Area
x = 66
then max Area = 66(13266) = 4356 m^2
by completing the square:
Area = [x^2  132x + 4356  4356 ]
= (x66)^2 + 4356
so the max Area is 4356 , when x = 66posted by Reiny

thanks!
posted by anonymous
Respond to this Question
Similar Questions

MATH ANALYSIS
How should this be done? Suppose you have 132 m of fencing with which to make two sidebyside rectangular enclosures against an existing wall. if the rectangular enclosures are adjacent and of the same depth what is the maximum 
advanced math
Suppose you have 168 meters of fencing with which to make two sidebyside rectangular enclosures against an existing wall. If the rectangular enclosures are adjacent and of the same depth, what is the maximum are that can be 
math
a farmer has 120 m of fencing to make two identical rectangular enclosures using an existing wall as one side of each enclosure. The dimensions of each closure are x metres and y metres as shown. Obtain and expression in terms of 
Pre Calculus
He needs two adjacent rectangular enclosures  he has 300 feet of fencing. a. find a function that models the total area of enclosures with respect to the width of the enclosures. b. write your function in vertex form using the 
Math
if you have 200 feet of fencing to enclose four adjacent rectangular enclosures. Determine what demensions should be used so that the enclosed area will be maximized. 
math
1) A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. There is 240m of fencing available. Express the area of the enclosures as a function of its dimension. No there is no common side 
math
1) A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. There is 240m of fencing available. Express the area of the enclosures as a function of its dimension. No there is no common side 
ALGEBRA 2 urgent!!
if you have 200 feet of fencing to enclose four adjacent rectangular enclosures. Determine what demensions should be used so that the enclosed area will be maximized. 
Calculus
A farmer has 120 meters of wire fencing to make enclosures for his pigs and cows. The rectangular enclosure he is considering will have one side up against a barn (in the center of one side that is 150 meters long, so the 
word problem?
A rectangular lot is to be bounded by a fence on three sides and by a wall on the fourth side. Two kinds of fencing will be used with heavy duty fencing selling for $4 a foot on the side opposite the wall. The two remaining sides