A local council is designing a rectangular community garden. They have 16 meters of fencing available to enclose the garden on three sides, with an existing wall forming the fourth side. The council wants to maximize the area of the garden.
b. State an equation for the perimeter of the fencing in terms of $l$ and $w$. Then, express $l$ in terms of $w$.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 2 marks, testing your understanding of Optimisation Problems. It falls under Calculus in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers limits, continuity, differentiability, differentiation, and anti-differentiation.
identification of local maximum/minimum values over an interval and application to solving optimisation problems in context, including identification of interval endpoint maximum and minimum values
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