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15 June, 21:16

A rectangular page is to contain 95 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.

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  1. 15 June, 21:33
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    Hey

    Let the dimensions for the Print Region be M, N

    Additional Margin is summed up to get:

    New Dimensions of the Page = (M + 2) (N)

    [ 2 inches - 1 inch on either side ]

    Hence, the Area = [ MN + 2N ] = [ 95 + 2N ]

    Note that 'N' has to be a factor of 95

    => Least Possible Area is achieved when N = 5

    => Dimensions of the Page = { 21 inches x 5 inches ]
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