Posted by Nahel on Tuesday, August 5, 2008 at 8:59pm.
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 will use standard fencing selling for $3 a foot. What are the dimensions of the rectangular plot of greatest area that can be fenced in at a cost of $6600?
THANK YOU!!!

word problem?  Damon, Tuesday, August 5, 2008 at 9:19pm
cost = 6 b + 4 L = 6600
area = b L
so
4 L = 6600  6 b
L = 1650  1.5 b
area = y = 1650 b  1.5 b^2
that is a parabola opening down, the maximum will be at the vertex
find the vertex
1.5 x^2 1650 x = y
x^2  1100 x = 2 y/3
x^2  1100 x + 302500 = 2 y/3 + 302500
(x550)^2 = 2 y/3 + 302500
x = b = 550
so L = 1650  1.5 (550)
L = 825
Answer This Question
Related Questions
 Calc.  A rectangular plot of land is to be fenced in using two kinds of fencing...
 Math: Word Problem  A security fence encloses a rectangular are on one side of ...
 Algebra  a rectangular lot whose perimeter is 1600 feet is fenced on three ...
 college algebra  a rectangular lot whose perimeter is 440 feet is fenced along ...
 Allan Hancock College  A rectangular lot whose perimeter is 260 ft is fenced ...
 fdr  a rectangular fence is constructed that will enclose 100 ft sq of land. ...
 IMPORTIANT MATH  A school is fencing in a rectangular area for a playground. It...
 Business Calculus  Bill wants to fence in his rectangular garden so his ...
 precal  One campus of Houston community college has plans to construct a ...
 college Algebra  A rectangular fence is to be built along a river using the ...
More Related Questions