math
posted by Anonymous .
a rectangular garden is to be fenced along four sides and in the middle it is to be divided into 2 equal areas.if 300meters of fencing materials is available, find the maximum possible area that can be fenced.

make a sketch, so you will have 2 longs sides and 3 short sides parallel with the divider.
Let the long sides by y, and the short sides be x
3x + 2y = 300
y = (300  3x)/2 = 150  1.5x
Area = xy
= x(1501.5x)
= 150x  1.5x^2
= 1.5(x^2  100x + 2500  2500)
= 1.5(x50)^2 + 3750
Max area = 3750 m^2
check: x = 50, y = 75
area = 3750, 3x+2y= 150+150 = 300
Respond to this Question
Similar Questions

algebra 1
Charles wants to build a vegetable garden such that three sides of the garden are fenced and the fourth side of the garden will be the existing back fence. He has 30 feet of fencing available. Find the dimensions of the garden that … 
Math
A rectangular garden is to be fenced off and divided into 3 equal regions by fencing parallel to one side of the garden. 200 feet of fencing is used. find the dimensions of the garden that maximizes the total area enclosed. what is … 
5th grade math
holly's garden is divided into 5 equal sections. she will fence the garden into 3 areas by grouping some equal sections together. what part of the garden could each fenced area be? 
Mathematics
A rectangular garden is to be fenced along four sides and is to be divided into three parts parallel to two of its shorter sides. Find the dimensions of the garden if the length is twice its width and the total fencing materials is … 
Math
A rectangular rice land is to be fenced along 4 sides and in the middle to divide it into to 2 equal areas. If 200m of fencing is available, what is the maximum area to be fenced? 
precalculus
A rectangular garden next to a building is to be fenced with 120 feet of fencing. The side against the building will not be fenced. What should the lengths of the other three sides be in order to assure the largest possible area? 
math
holly's garden is divided into 5 equal sections. she will fence the garden into 3 areas by grouping some equal sections together. what part of the garden could each fenced area be? 
engineering mathematics 1
your father wants to fence a rectangular area in your backyard for a garden. one side of the garden is along rhe edgeof the yard is already fenced, so you only need to build a new fence along the other 3 sides of rectangle. if you … 
Math
A rectangular garden is to be fenced by a farmer. One side of the garden is next to the wall of the house and need not to be fenced. Find the dimensions of the largest garden that can be enclosed with 100m of fencing. 
Precalculus
A farmer has 1000 feet of fencing materials available to fence a rectangular pasture next to a river. If the side along the river does not need to be fenced, what dimensions maximize the enclosed area?