A piece of paper is to display 150, space square inches of text. If there are to be one-inch margins on the sides and the top and a two-inch margin at the bottom, what are the dimensions of the smallest piece of paper that can be used? Choose 1

Step-by-step explanation:

Given

Required

Determine the smallest dimension to use

To answer this question, I'll make use of the attached figure as a point of reference.

The area of the printed matter is:

Substitute 150 for A1

Make H the subject

The area of the full paper is:

Substitute 150/W for H

Open brackets

Collect Like Terms

Differentiate with respect to w and set the result to 0

Set to 0

Collect Like Terms

Cross Multiply

Make the subject

Take positive square root of both sides

Recall that:

Hence, the smallest dimension of the paper is: