Area of a rectangle

A rectangular lot, 54 square yds. in area with a perimeter fence, is divided into 2 rectangular sections by a single connecting fence costing $2.00/yd. the perimeter fence costs $5.00/yd. Find the dimensions of the lot which minimizes the cost of fencing.

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/calculus-and-analysis/area-of-a-rectangle-2co

Solution Preview

...ecting fence is x.
Then the cost is C(x)=5(2x+2y)+2x=12x+10y=12x+540/x
> To find the min cost, set C'(x)=12-540/x^2=0, then x=3sqrt(5)
The min ...