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.

Question

04-05-2018
Mathematics

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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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JulisChristie JulisChristie · Answer 1 · 2018-05-04T12:13:59+02:00

JulisChristie JulisChristie

04-05-2018

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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