Maximise an area model
A rectangular pen has perimeter \(60\) m. Let width be \(x\), so \(A(x)=30x-x^{2}\). Find optimal width, length, and maximum area.
Worked practice: optimization
Find the dimensions at the vertex, then state the maximum area.
Write a full answer
Now write the response in full, in your own words — this is what the exam asks for. The AI marks it on the same moves you built above (focus, evidence, technique, judgement) and gives feedback on reasoning, evidence, and expression.