A rectangular dog pen is to be made to enclose an area of 625 sq. ft. The pen is to be divided into 2 equal sections by a section of the fence. Find the dimensions of the pen that will require the least amount of fencing material.

Question

Thank you!

Answer 1

Calculus I assume?

Length*Width= 625
fencelenght= 2L + 3W

W= 625/L

fencelength= 2L+ 3*625/L
d fl/dl= 0=2 -3*625/L^2
or L= sqrt (3/2 * 625)
and W= 625/sqrt (3/2 625)

Now, if you are in algebra, I don't see any way of working this except graphing
fencelength=2L -325/L and looking for the minimum.

Answer 2

The local city council want to build a bike path around a square park. The park has an area of 9 square miles. How many miles long will the bike path be