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

Answer:

the width of the frame is:

w = 6 cm