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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #40 · Calculus · Optimization

A fixed wall makes one side of a rectangle

A fixed wall makes one side of a rectangle. We have 200 feet of fence for the other three sides. Maximize the area $A$ in 4 steps:
1. Draw a picture of the situation.
2. Select one unknown quantity as $x$ (but not $A$ !).
3. Find all other quantities in terms of $x$ .
4. Solve $d A / d x = 0$ and check endpoints.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #40

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