Question 1207920
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Some time ago I solved a similar problem involving a 12 by 10 rectangle
*[illustration UploadedScreenshot_13.png]
The 12 by 10 rectangle enlarges to a (12+2x) by (10+2x) rectangle.


Using this template idea, your 7 by 12 rectangle enlarges to a (7+2x) by (12+2x) rectangle.
A = Large rectangle area = (7+2x)*(12+2x) = 4x^2+38x+84
B = small rectangle area = 7*12 = 84 square meters
A-B = (4x^2+38x+84) - (84) = 4x^2+38x


A-B = area of the flower border = 92


4x^2+38x = 92
4x^2+38x-92 = 0
Use of the quadratic formula will yield the two roots x = -11.5 and x = 2
A negative border width makes no sense, so we ignore it.



Answer: Border width is 2 meters
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