A 384 - square meter plot of land is to be enclosed by a fence and divide into two equal parts by another fence parallel to one pair of sides. What dimensions of the outer rectangle will minimize the amount of fence used?

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- March 3rd 2010, 02:19 PMdeltaXMinimum
A 384 - square meter plot of land is to be enclosed by a fence and divide into two equal parts by another fence parallel to one pair of sides. What dimensions of the outer rectangle will minimize the amount of fence used?

- March 3rd 2010, 02:34 PMArchie Meade
- March 3rd 2010, 03:55 PMdeltaX
- March 3rd 2010, 04:04 PMArchie Meade
Hi deltax,

sorry, that was a few steps in one go!

multiplying by y

(1)

Differentiate

Now, use this instead of k in (1)

Subtract from both sides