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Eric
Eric asked in Science & MathematicsMathematics · 4 years ago

Optimization problem?

A rectangular page is to contain 99 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.

I keep getting sqrt(99) as the answer.......... don't know what i am doing wrong

2 Answers

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  • Julius N
    Lv 7
    4 years ago

    xy=99

    paper = (x+2)(y+2)

    x = √99, y = √99

    paper = ( 2+√99 ) by ( 2 + √99 )

  • Spock (rhp)
    Lv 7
    4 years ago

    ten inches square is wrong -- with margins on all four sides of one inch, the space left for the print would be 8 inches by 8 inches == that's only 64 inches square.

    your problem is not clearly specified ... "rectangular" does not specify the actual shape, other than it is not square. Nor does it specify limits.

    are you limited to 8.5 inches wide [standard US paper width]? problem doesn't say. if you are, the width of the print is 6.5 inches and you can get height of print by simple division and then add two inches for top and bottom margin

    Source(s): grampa
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