Posted by **anonymous** on Wednesday, December 9, 2009 at 9:16pm.

How should this be done?

Suppose you have 132 m of fencing with which to make two side-by-side rectangular enclosures against an existing wall. if the rectangular enclosures are adjacent and of the same depth what is the maximum are that can be enclosed?

- MATH ANALYSIS -
**MathMate**, Thursday, December 10, 2009 at 12:10am
Draw a diagram!

You will need three cross fences, and one that is parallel to the wall.

Let the length of each cross fence be x.

Express the length L of the longitudinal fence in terms of x and 132 m.

Express the total area A(x) of the two rectangular areas in x and L, and subsequently in x only.

Use calculus to maximize A(x). Solve for x.

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