A café owner is designing a new menu and wants to include a decorative border around the outside of her food listings. Due to the cost of printing, the border should have an area of 48 square inches. The width of the border needs to be uniform around the entire menu. She has already determined that her food listings will fit within a 13-inch by 9-inch rectangular area.     The area of the decorative border can be modeled by the following equation, where x represents the width of the decorative border. x2 + x =  Is it reasonable for the border to be 2.5 inches wide?  (yes/no)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A café owner is designing a new menu and wants to include a decorative border around the outside of her food listings. Due to the cost of printing, the border should have an area of 48 square inches. The width of the border needs to be uniform around the entire menu. She has already determined that her food listings will fit within a 13-inch by 9-inch rectangular area.

 

 

The area of the decorative border can be modeled by the following equation, where x represents the width of the decorative border.

x2 + x = 

Is it reasonable for the border to be 2.5 inches wide?  (yes/no)

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