Maryland has a carpet with an area of 29 1/2 square feet
if the length of a carpet is 6 1/2 square feet what is the width of the carpet in feet
Using the formula for area of a rectangle, and converting all mixed numbers into improper numbers, we get $\frac{13}{2}*x=\frac{59}{2}$.
Multiplying both sides by 2 gives $13x=59$.
Dividing by 13 gives $\boxed{x=\frac{59}{13}}$. Or, as a mixed number, $x=4$ $\frac{7}{13}$