A rectangular field is to be fenced. The two length sides use material costing $\text{\u20A6}5$ per metre and the two width sides cost $\text{\u20A6}3$ per metre. If the area must be $2000$ m$^2$, find the dimensions that give the minimum total cost.

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Length = 20\sqrt{3} m, Width = \frac{100\sqrt{3}}{3} m

Neco 2018 Further Mathematics Question 7

A rectangular field is to be fenced. The two length sides use material costing \(\text{\u20A6}5\) per metre and the two width sides cost \(\text{\u20A6}3\) per metre. If the area must be \(2000\) m\(^2\), find the dimensions that give the minimum total cost.

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