Question 242913
Best thing to do with problems like this is to draw a diagram.

From the diagram you will see that the area between the border and the flower bed is equal to the 12 foot of the flower bed added to twice the width of the border multiplied by 9 plus twice the width of the bed.

Using Algebra, if x is the unknown width:

{{{(12+2x)(9+2x) = 154}}}
{{{4x^2+24x+18x+108) = 154}}}Multiply out
{{{4x^2+42x+108) = 154}}}Collect terms
{{{4x^2+42x-46) = 0}}}Set to zero

*[invoke quadratic "x", 4, 42, -46]

So x must be positive so x is 1 ft