The owner of a garden centre wishes to fence a rectangular area of 300 meters squared. She wished to fence three sides with a fencing that costs $9 per meter and the forth side with fencing costing $15 per meter. Find the dimensions of the rectangular area that will minimise her fencing cost.(adsbygoogle = window.adsbygoogle || []).push({});

I have started off this problem by drawing out a rectangle which I have labelled 2 sides as x and the other 2 as y. then I found y in terms of x according to the set area which was given. However I am not sure on how to proceed with this problem, as I am confused on how to find a function for the cost of this fencing. I know that this problem requires the use of differentiation in order to find the minimium value.

Thanks to anyone who helps and all input welcome ,

Pavadrin

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# Homework Help: Use of differentiation in order to find the minimium value

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