Answer
The length of the rectangle is 60 centimeters.
Work Step by Step
Let l represent the length of the rectangle.
The ratio of the length of a rectangle to its width is $\frac{5}{2}$.
We set up the following proportion:
$\frac{5}{2}$ = $\frac{l}{24}$
We cross multiply to obtain:
5 $\times$ 24 = 2 $\times$ l
120 = 2l
Divide both sides by 2.
l = 60
The length of the rectangle is 60 centimeters.