Darrel J.

asked • 11/19/21# You are building 5 identical pens next to each other. What dimensions minimize the amount of fencing if you want each area small area to be 375 square feet

You are building 5 identical pens next to each other. What dimensions minimize the amount of fencing if you want each area small area to be 375 square feet.

Any help would be amazing

## 2 Answers By Expert Tutors

Andrew F. answered • 11/20/21

Experienced private school teacher

Darrel, I drew a sketch with 5 rectangles, connected to each other, and I have 10 "x" lengths and 6 "y" lengths for my shape--does this fit the problem?

We then see if each pen is 375 in area, that (x)(y) = 375, so y = 375/x

Now we can look at the perimeter of this (how many "x" and "y" lengths we need) and see we have

P(x) = 10x + 6y or P(x) = 10x + 6(375/x)

To find the minimum value, find where P'(x) = 0 and P"(x) < 0

Hope this helps, but please let me know---Andrew

Doug C. answered • 11/20/21

Math Tutor with Reputation to make difficult concepts understandable

desmos.com/calculator/2ari2vzbm5

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem.

Most questions answered within 4 hours.

#### OR

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.

Paul M.

11/19/21