Let l be the length of the rectangle and w be its width.
Since the length is 7 feet less than 5 times the width, and the perimeter is 94 feet we can set the following system of equations:

Substituting the first equation in the second one we get:

Applying the distributive property we get:

Adding like terms we get:

Adding 14ft to the above equation we get:

Dividing the above equation by 12 we get:

Finally, substituting w=9ft in the first equation we get:

Answer: The length of the rectangle is 38ft and its width is 9ft.