MediumOptimization

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.

~8 minWritten answer · check your work with Lemma

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

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.