SOLUTION: A rectangular storage area is to be constructed along the side of a tall building. A security fence is required along the remaining 3 sides of the area. What is the maximum area th

Algebra ->  Rectangles -> SOLUTION: A rectangular storage area is to be constructed along the side of a tall building. A security fence is required along the remaining 3 sides of the area. What is the maximum area th      Log On


   

Question 891963: A rectangular storage area is to be constructed along the side of a tall building. A security fence is required along the remaining 3 sides of the area. What is the maximum area that can be enclosed with 100 meters of fencing?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two parallel sides have length of x meters each. Then the third remaining side has length 100 - 2x meters. The area would then be A(x) = x(100 - 2x). The graph of this is a parabola facing downward, with x-intercepts at x = 0 and x = 50. The highest point (vertex) would then be situated where x = 25, midway between the two x-intercepts (roots). The largest area would then be 25* 50 = 1250 square meters.