A rectangular garden is to be fenced. Its area must be $200\,\text{m}^{2}$. The cost of fencing per metre along the length sides is $\text{₦}150$ and along the width sides is $\text{₦}100$. Determine the dimensions that give the minimum total cost and compute that minimum cost.

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L = 20/\sqrt{3}\,m, \; W = 10\sqrt{3}\,m, \; Minimum cost = 4000\sqrt{3}\,	ext{Naira}

Neco 2018 Further Mathematics Question 45

A rectangular garden is to be fenced. Its area must be \(200\,\text{m}^{2}\). The cost of fencing per metre along the length sides is \(\text{₦}150\) and along the width sides is \(\text{₦}100\). Determine the dimensions that give the minimum total cost and compute that minimum cost.

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