# 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

Algebra ->  -> 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      Log On

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 Click here to see ALL problems on Quadratic Equations Question 744518: 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? a. Write the equation for the area of the rectangular region: A = b. Write the equation for the fencing required: 150 = c. Solve the equation for fencing for y. d. Substitute the result of step c) into the area equation to obtain A as function of x. e. 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. f. This means that the area inside the fencing is maximized when x = ? g. Find the length of side y. h. Find the maximum area.Answer by lynnlo(4174)   (Show Source):