You can perform here the division of monomials. The area of a rectangle is given by length times width. Whatever the quotient when you divide the rectangle's area to its length will be your width.
[tex] \frac{24 {x}^{5} {y}^{7} }{5 {x}^{2} {y}^{3} } = \frac{24}{5} {x}^{(5 - 2)} {y}^{(7 - 3)} = \frac{24}{5} {x}^{3} {y}^{4} [/tex]
Hence, your width is 24/5 x³y⁴.
