Answer: The required area of the pool is \(379\dfrac{1}{6}~\textup{sq. ft}.\)
Step-by-step explanation: Given that a rectangular pool is \(30\dfrac{1}{3}\) feet long and \(12\dfrac{1}{2}\) 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
\(A=lw.\)
For the given rectangular pool, we have
\(l=30\dfrac{1}{3}=\dfrac{91}{3},\\\\\\w=12\dfrac{1}{2}=\dfrac{25}{2}.\)
Therefore, the area of the pool is given by
\(A=lw=\dfrac{91}{3}\times\dfrac{25}{2}=\dfrac{2275}{6}=379\dfrac{1}{6}.\)
Thus, the required area of the pool is \(379\dfrac{1}{6}~\textup{sq. ft}.\)
