Question 83999
you're kind of on the right track ... let x be the width of the sidewalk


the dimensions of the garden are the overall dimensions minus twice the width of the sidewalk


area=(length)(width) ... 105=(19-2x)(11-2x) ... 105=209-60x+4x^2 ... 0=104-60x+4x^2


x^2-15x+26=0 ... (x-13)(x-2)=0 ... x=13, x=2 ... the 13 is not a realistic solution (overall width is only 11)