A construction company has 840 feet of chain-link fence that is used to enclose storage areas for
Question:
A construction company has 840 feet of chain-link fence that is used to enclose storage areas for equipment and materials at construction sites. The supervisor wants to set up two identical rectangular storage areas sharing a common fence (see the figure).
Assuming that all fencing is used,
(A) Express the total area A(x) enclosed by both pens as a function of x.
(B) From physical considerations, what is the domain of the function A?
(C) Graph function A in a rectangular coordinate system.
(D) Use the graph to discuss the number and approximate locations of values of x that would produce storage areas with a combined area of 25,000 square feet.
(E) Approximate graphically (to the nearest foot) the values of x that would produce storage areas with a combined area of 25,000 square feet.
(F) Determine algebraically the dimensions of the storage areas that have the maximum total combined area. What is the maximum area?
Step by Step Answer:
College Mathematics For Business Economics, Life Sciences, And Social Sciences
ISBN: 978-0134674148
14th Edition
Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker