SOLUTION: 1. You have 150 yards of fencing to enclose a rectangular region. One side of the rectangle does not need fencing. Find the dimensions of the rectangle that maximize the enclosed a

Question 744516: 1. You have 150 yards of fencing to enclose a rectangular region. One side of the rectangle does not need fencing. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?Complete the following steps to solve the above problem:
Write the equation for the area of the rectangular region:
A =
Write the equation for the fencing required:
150 =
Solve the equation for fencing for y.
Substitute the result of step c) into the area equation to obtain A as function of x.
Write the function in the form of f(x)=ax^2+bx+c.
Calculate �b/2a. If a < 0, the function has a maximum at this value.
This means that the area inside the fencing is maximized when x = ?
Find the length of side y.
Find the maximum area.

Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS
1. You have 150 yards of fencing to enclose a rectangular region. One side of the... (answered by lynnlo)

you have 80 yards of fencing to enclose a rectangular region. find the dimensions of the (answered by Cintchr)

you have 60 yards of fencing to enclose a rectangular region. Find the dimensions of the... (answered by ikleyn)

you have 100 yards of fencing to enclose a rectangular area. Find the dimensions of the... (answered by RAY100)

You have 188 feet of fencing to enclose a rectangular region. What is the... (answered by rapaljer)

you have 80 feet of fencing to enclose a rectangular region. what is the maximum... (answered by drk)

You have 332 feet of fencing to enclose a rectangular region. What is the maximum... (answered by solver91311,josmiceli)

You have 50 yards (50-2x) of fencing to enclose a rectangular region. Find the dimensions (answered by Fombitz)

You have 64 yards of fencing to enclose a rectangular region. Find the dimensions of the... (answered by rfer)