Answer
$A=16\frac{2}{3}$ square inches
Work Step by Step
The area $A$ of a rectangle is given by the formula $A=LW$ where $L$=length and $W$= width.
Use the formula above to obtain:
$\require{cancel}
\\A=6\frac{1}{4} \cdot 2\frac{2}{3}
\\A=\frac{4(6)+1}{4}\cdot \frac{3(2)+2}{3}
\\A=\frac{25}{\cancel{4}} \cdot \frac{\cancel{8}2}{3}
\\A=\frac{25(2)}{3}
\\A=\frac{50}{3}
\\A=16\frac{2}{3}$