Homework Help: Algebra

Posted by Tori on Sunday, October 17, 2010 at 10:00pm.

You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

Algebra - bobpursley, Sunday, October 17, 2010 at 10:03pm
area= LW
but 2W+L=600
L= 600-2W
area= (600-2W)(w)

well, roots are w=0, and w=300 that is where area is zero. Since a parabola is described here, the max will occur halfway, or w=150. Solve for Area when w=150

Plot Area vs W and see if this is so. Use your graphing calculator.
Algebra - Tori, Sunday, October 17, 2010 at 10:04pm
I already know that the answer is 300 for the length and 150 for the width, giving a sq ft of 45,000. The only problem is i do not know how to get that answer.
Algebra - Tori, Sunday, October 17, 2010 at 10:08pm
@bobpursley i got it now. thanks a bunch =)

Answer this Question

Related Questions

College Algebra - You have 800 feet of fencing to enclose a rectangular plot ...
Math - Show all work You have 92 feet of fencing to enclose a rectangular plot ...
Math - You have 192 feet of fencing to enclose a rectangular plot that borders ...
Math - A farmer with 8000 meters of fencing wants to enclose a rectangular plot ...
intermediate algebra - A farmer with 3000 feet of fencing wants to enclose a ...
Math - A farmer has 80 feet of fencing, which she plans to use to fence in a ...
intermediate algebra - A farmer with 3000 feet wants to enclose a rectangular ...
math - A farmer with 2000 meters of fencing wants to enclose a rectangular plot ...
Math - A developer wants to enclose a rectangular grassy lot that borders a city...
Word Problem - A developer wants to enclose a rectangular grassy lot that ...

For Further Reading

First Name:
School Subject:
Answer: