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Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A farmer uses 4040 m of fencing to enclose a rectangular plot. One side is xx m, so the adjacent side is 20−x20-x m.
Total: 4 marks

(a) Write the area A(x)A(x). (1 mark)

(b) Find the value of xx for maximum area. (2 marks)

(c) Find the maximum area. (1 mark)

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cbse-math-12.u3.t3-5.case.005

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