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30 April, 21:17

A small garden measures 8 ft by 7 ft. A uniform border around the garden increases the total area to 110 ft 2. What is the width of the border?

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  1. 1 May, 01:01
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    Answer: 3

    Step-by-step explanation:

    You can answer this question by using the equation

    (8+x) (7+x) = 110

    The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.

    If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0

    This can be simplified into (x-3) (x+18) = 0

    This equation makes it so that x is either 3 or - 18. It is not possible for a width to be - 18, so the width must be 3.
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