Question 744803
let x be the extension of the sides of rectangle after it extend the area by 3.226
thus, {{{L2=x+17}}} & {{{W2=x+15}}}

The ratio of the extended area to the original area is: {{{A2/A1 = 3.226}}}

{{{((x+17)(x+15))/255=3.226}}}
{{{x^2+32x-567.63=0}}}
solving quadratic equation yields
{{{x=12.699}}}
Thus, {{{L2=x+17=29.699}}} & {{{W2=x+15=27.699}}}

Checking: {{{A2=29.699*27.699=822.633}}}