SOLUTION: A rancher with 800 feet of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. What is the largest po
Algebra.Com
Question 25853: A rancher with 800 feet of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the three pens?
i'm not allowed to use trial and error, only algebra. I've tried like 6 different equations where x=y or x=3y, i just can't figure it out. Please help!
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
A rancher with 800 feet of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the three pens?
i'm not allowed to use trial and error, only algebra. I've tried like 6 different equations where x=y or x=3y, i just can't figure it out. Please
LET LENGTH AND WIDTH OF FIELD BE L AND B
FENCING NEEDED AROUND THE FIELD =2L+2B
FENCING FOR THE 3 PENS OR 2 DIVIDERS ALONG LENGTH =2L
TOTAL FENCING =2L+2B+2L=4L+2B=800
OR ....2L+B=400...OR B = 400-2L
AREA = LB = L(400-2L)=2(200L-L^2)=2{100^2-(L-100)^2}
THIS WILL BE MAXIMUM WHEN l+!)) AND MAXIMUM AREA IS
2*100^2=20000 SQ.FT.
RELATED QUESTIONS
A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it... (answered by stanbon,ikleyn)
Need help Please!!!!
A rancher with 750ft of fencing wants to enclose a rectangular area (answered by ankor@dixie-net.com)
A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it... (answered by ankor@dixie-net.com)
A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it... (answered by stanbon)
PLEASE PLEASE PLEASE HELP ME! IT'S DUE IN 5 HOURS ONLINE! THANKS!
A rancher with 900... (answered by Alan3354)
A rancher has 4400 feet of fencing available to enclose a rectangular area bordering a... (answered by josgarithmetic)
A rancher wishes to enclose a rectangular partitioned corral with 1,944 feet of fencing.... (answered by fractalier)
A farmer wants to divide his plot of land into 4 equal parts. He then will fence it in... (answered by solver91311)
A gardener has 270 feet of fencing and wants to fence in a rectangular garden and then... (answered by josgarithmetic)