SOLUTION: The owner of the Rancho Grande has 2,956 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 r

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Question 1178945: The owner of the Rancho Grande has 2,956 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 (in yd) of the largest area he can enclose?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the side be x
two sides 2x
one length
length = 2956-2x
Area = L * W
Area = x(2956-2x)
2956x -2x^2
derivative = 2956 -4x
2956 -4x =0
x = 739
2x = 1478 yards
Length = 2956-1478= 1478 yards
Area = L * W



Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

If you want to see Algebra solution to this problem, look into the lesson
    - A farmer planning to fence a rectangular area along the river to enclose the maximal area
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.