A rectangular playground has an area equal to three times the square of its width. If the length is $9$ meters greater than the width, find the width and length.

$\text{Width}=4.5\text{ m}$

$\text{Length}=13.5\text{ m}$

$\text{Width}=9\text{ m}$

$\text{Length}=18\text{ m}$

No solution

$\text{Width}=0$

$\text{Length}=9\text{ m}$