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
Since we are talking about passwords the order of the letters matters, i.e, the pasword UpT is different to the pasword pUT. Therefore, the problem involves all the permutations of 33 letters, from the given letters, where no repetitions of letters are allowed.
