The length of a rectangular garden is 4 m greater than the width. the area of the garden is nbsp 60m squared . find the dimensions of the garden.

You have to define the length in terms of the width or you have too many unknowns.  L = w + 4.  If the area is 60, the equation is 60 = w(w + 4).  When you distribute that and set the quadratic equal to 0, then you have polynomial that you have to factor to find the dimensions.  Here's your equation: and when you factor that (I recommend using the quadratic formula) you get that w = 6 and w = -10.  If you have 2 values for w, which one do you use?  Always remember in math that there are 2 things that will NEVER EVER be negative and they are distance/length and time.  So the value for w that you want is 6.  That tells me that the width is 6 and the length is 6 + 4 which is 10 (not related at all to the -10 found in factoring.  Purely coincidental.  Promise)