1. ## another optimization question

1) A rectangle study area is to be enclosed by a fence and divided into two equal parts, with a fence running along the division parallel to one of the sides. If the total area is 384ft^2, find the dimenstions of the study area that will minimize the total length of the fence. How much fence will be required?

let = total length of fence

...

someone told me to find and minimize
so do I just set this equation to 0 and ..?

thank you

Yes. First find, $\displaystyle \frac{dF}{dW}$, then set that equal to zero to find a critical point (a potentially optimized value for) $\displaystyle W$

If you need further assistance, please provide your value for $\displaystyle \frac{dF}{dW}$.

3. Originally Posted by n0083

Yes. First find, $\displaystyle \frac{dF}{dW}$, then set that equal to zero to find a critical point (a potentially optimized value for) $\displaystyle W$

If you need further assistance, please provide your value for $\displaystyle \frac{dF}{dW}$.

I got 786/w^2 +3
Is this right?

4. Originally Posted by inhae772
I got 786/w^2 +3
Is this right?
close, -786/w^2 +3 (because the exponent of the w in the first term is -1)