math
posted by Amber .
a farmer has 200 yards of fencing to enclose three sides of a rectangular piece of property that lies next to a river. the river will serve as the fourth side. find the dimensions of property if the area is 3200 yards^2

math 
KokkoDeRas
i)the area of rectangle is x*y (whit x,y side)=>x*y=3200 Ya^2
ii)the condition imposed from the questions is: x+y+y=200 Ya (i have choise two y because the text not exsplicit the misure of one the side):
x+2y=200 => x=2002y Ya
for (i) (2002y)*y=3200 Ya^2
200y2y^2=3200 seconddegree equation
you know resolve 
math 
Reiny
let the length of the field by y yds, (parallel to river)
leth the width of the river be x yds
first restriction:
2x + y = 200 > y = 2002x
Second piece of data:
xy = 3200
x(2002x) = 3200
200x  2x^2  3200 = 0
2x^2  200x + 10000 = 100003200
x^2  100x = 1600
x^2  100x + 2500 = 25001600
(x50)^2 = 900
x50 = ± 30
x = 80 or a negative, which will be rejected
the width is 80 yds and the length is 40
check:
40 + 2(80) = 200
80(40) = 3200
Respond to this Question
Similar Questions

Applied Math Gr.11
A farmer wants to enclose three sides of a rectangular pasture unsing 1000 yards of fencing. The fourth side does not require fencing because it borders a river. What dimensions (length and width) should the farmer choose in order … 
Math
A farmer with 8000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? 
Calc.
Please help solve this, A farmer has 600m of fence and wants to enclose a rectangular field beside a river. Determine the dimensions of the fence field in which the maximum area is enclosed. (Fencing s required on only three sides: … 
Math
The owner of the Rancho Grande has 3028 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of … 
Math
The owner of the Rancho Grande has 3028 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of … 
Algebra 2
A farmer wants to enclose 2 adjacent rectangular regions next to a river. No fencing will be used next to the river. 60 meters of fencing will be used. What is the area of the largest region that can be enclosed. I need all of the … 
College Algebra
A farmer has 100 yeards of fencing with which to enclose two adjacent rectangular pens both bordering a river. The farmer does not need to fence the side with the river. What should the dimensions of the two pens together (a rectangle) … 
Algebra  Math
A farmer has 100 yards of fencing with which to enclose two adjacent rectangular pens  both bordering a river. The farmer does not need to fence the side with the river. What should the dimensions of the two pens Together (rectangle … 
word problem
a farmer has 800 yards of fencing to enclose a rectangular pasture. Since one side of the pasture boarders a river that side does not need to be fenced. if the side perpendicular to the river must be twice as long as the side parallel … 
Algebra
A homeowner wants to enclose a rectangular piece of land beside a river. He must put a fence on 3 sides of the field (the river forms the fourth side). The field has length L (which runs parallel to the river) and width W. The homeowner …