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A rectangular page is to contain 64 square inches of print. What are the dimensions of the page if the length is twice the width?

A. 4 inches by 16 inches
B. 8 inches by 8 inches
C. 16 inches by 4 inches
D. 12 inches by 6 inches

User Lambinator
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1 Answer

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Final answer:

The dimensions of the rectangular page that contains 64 square inches of print with the length being twice the width are 8 inches by 16 inches.

Step-by-step explanation:

The question is asking for the dimensions of a rectangular page that must contain 64 square inches of print, given that the length is twice the width. To solve this, we'll denote the width as x inches. Consequently, the length would be 2x inches. Because the area of a rectangle is found by multiplying the length by the width, we can set up the equation x × 2x = 64. Solving for x, we find that x² = 32, and thus x = 8 inches. This makes the length 16 inches, as it is double the width. Therefore, the correct dimensions of the page are 8 inches by 16 inches, which corresponds to option A: 4 inches by 16 inches, given that the length should be twice the width.

User Soroosh Bateni
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