A=LW and we wish to increase L and W by the same amount to get an area of 192m^2.
(9+2x)(13+2x)=192
117+18x+26x+4x^2=192
4x^2+44x+117=192
4x^2+44x=75
x^2+11x=18.75
(x+5.5)^2=30.25+18.75
(x+5.5)^2=49
x+5.5=±7
x=-5.5±7, since x>0
x=1.5
13+2(1.5)
16 meters will be the new longer dimension.
