SOLUTION: Word Problems involving Optimization (Derivatives) A poster must have a printed area of 781.25 cm^2. It will have top and bottom margins that are 5 cm each, and side margins tha

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Word Problems involving Optimization (Derivatives) A poster must have a printed area of 781.25 cm^2. It will have top and bottom margins that are 5 cm each, and side margins tha      Log On

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Question 1202486: Word Problems involving Optimization (Derivatives)
A poster must have a printed area of 781.25 cm^2. It will have top and bottom margins that are 5 cm each, and side margins that are 4 cm each. If all the dimensions of the printed area are at least 25 cm but at most 35 cm, what are the dimensions of the whole poster with the smallest total area? Show your solution.

Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
solved just now.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

The solution by @mananth,  to which he refers,  giving the answer   x= 25 cm, y= 35 cm,
is  TOTALLY,  ABSOLUTELY  and  FATALLY  wrong,

since the product   25*35 = 875 cm^2  is not  the required  781.25 cm^2  (the printed area).