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2015-06-08T21:56:17+08:00

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Let the width that we would add be x
*Then we have 2x since we add on both the top and bottom, left and right 

We have then:
(2x+7)(2x+12) = 92
(2x+7)(x+6) = 46
2x²+19x+42 = 46
2x²+19x-4 = 0

Using the Quadratic Formula:
x = -19 ± √(19²+32) = -19 ± √(361+32) = -19 ± √393 
                4                          4                     4
We do not consider the negative value since a length is never negative so the width is: √(393) - 19    m
            4
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