Answer: The required area of the pool is [tex]379\dfrac{1}{6}~\textup{sq. ft}.[/tex]
Step-by-step explanation: Given that a rectangular pool is [tex]30\dfrac{1}{3}[/tex] feet long and [tex]12\dfrac{1}{2}[/tex] feet wide.
We are to find the area of the pool.
We know that
the area of a rectangle with l units and width w units is given by
[tex]A=lw.[/tex]
For the given rectangular pool, we have
[tex]l=30\dfrac{1}{3}=\dfrac{91}{3},\\\\\\w=12\dfrac{1}{2}=\dfrac{25}{2}.[/tex]
Therefore, the area of the pool is given by
[tex]A=lw=\dfrac{91}{3}\times\dfrac{25}{2}=\dfrac{2275}{6}=379\dfrac{1}{6}.[/tex]
Thus, the required area of the pool is [tex]379\dfrac{1}{6}~\textup{sq. ft}.[/tex]
