Question

A rectangular page will contain 50 square inches of print. The margins at the top and

bottom of the page are 2 inches wide. The margins on each side are 1 inch wide. Find the

dimensions of the page that will minimize the amount of paper used.

Step 1

Let us consider the paper size of length *x* inches and width to be *y* inches.

As the margin at the top and bottom of the page are 2 inches wide the length of the printed space would be *x-4 *inches and the margins on each side are 1 inch wide the width would be *y-2* inches.

As the printed area being 50 it means that:

Step 2

As the area of a rectangle is given as: length x width

Therefore, area would be given as:

Step 3

To minimize the paper size, we need to differentiate the function a...

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Sorry about that. What wasn’t helpful?