A piece of paper is to display 150 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 answer: (A) 6''×25'' (B) 10''×15'' (C) 12'×18'' (D) 15||×18|| (E) None of these

Question

A piece of paper is to display 150 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 answer: (A)  6''×25'' (B)  10''×15'' (C)  12'×18'' (D)  15||×18|| (E) None of these

Bytelearn · Accepted Answer

Define Variables: Let's call the width of the paper w inches and the height h inches. The text area is 150 square inches.Calculate Text Area: The margins reduce the width by 2 inches (1 inch on each side) and the height by 3 inches (1 inch on the top and 2 inches at the bottom).Solve Equation: So, the text area can be represented by (w - 2)(h - 3) = 150.Evaluate Options: We need to find the smallest w and h that satisfy this equation. Let's start by trying the options given.Option A: Option (A): If w = 6 and h = 25, then (6 - 2)(25 - 3) = 4 * 22 = 88, which is not equal to 150.Option B: Option (B): If w = 10 and h = 15, then (10 - 2)(15 - 3) = 8 * 12 = 96, which is not equal to 150.Option C: Option (C): If w = 12 and h = 18, then (12 - 2)(18 - 3) = 10 * 15 = 150, which is equal to 150.Final Dimensions: So, the dimensions of the smallest piece of paper that can be used are 12 inches by 18 inches.

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