The area of a rectangle is equal to the product of its sides.
If the sides are 4 1/2 feet and 2 3/4 feet, we can transform this mixed numbers into decimals and calculate the product as:
[tex]\begin{gathered} A=(4+\frac{1}{2})\cdot(2+\frac{3}{4}) \\ A=(4+0.5)\cdot(2+0.75) \\ A=4.5\cdot2.75 \\ A=12.375\text{ sq ft} \end{gathered}[/tex]Answer: the area of the table is 12.375 square feet.