SOLUTION: 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 o

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Question 1103693: 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)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!


The menu itself without the added border is 9%2A13 square inches.
If x is the uniform with of border, then total area border plus menu is %289%2B2x%29%2813%2B2x%29.

The amount of border alone must be 48 square inches. (GIVEN)

%289%2B2x%29%2813%2B2x%29-9%2A13=48
Simplify and solve this for x.

4x%5E2%2B18x%2B26x=48
4x%5E2%2B44x-48=0
x%5E2%2B11x-12=0
and you can probably finish from here.