the lenght of a rectangle is 1cm more than its width,it has a area of 414cm2 what is the width to one decimal place?

L w = 414

L = w+1
so
w (w+1) = 414
w^2 + w = 414
w^2 + w - 414 = 0
w = [ -1 +/- sqrt(1+1656) ]/2
w = [ -1 +/- 40.706 ]/2
w = 19.9