The length of a rectangular frame is 5 cm more than the width. the area inside the frame is 66 square cm. find the width of the frame.

For this case we have that the area is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting we have:
 66 = (w) * (w + 5)
 Rewriting
 w ^ 2 + 5w - 66 = 0
 (w + 11) * (w-6) = 0
 Using the positive root we have:
 w = 6
 
 the width of the frame is:
 w = 6 cm