The length and width of the garden will be obtain as follows: let the length be x ft, the width will be (x+3.5)ft area of the bed will be: A=length*width 11.76=x(x+3.5) 11.76=x^2+3.5x thus x^2+3.5x-11.76=0 solving this by quadratic formula we get: x=[-b+/-sqrt(b^2-4ac)]/2a thus plugging in the values we obtain x=[-3.5+/-sqrt(3.5^2-4(-11.76*1))]/2 x=[-3.5+/-sqrt59.29]/2 x=[-3.5+/-7.7]/2 x=4.2 or -11.2 thus the length will be x=4.2 ft and the width will be x-3.5=0.7 ft
