First, we need to convert units. In this case, we can convert feets into inches. Since we know that 1 ft=12 in, then we have
[tex]1.5ft=1.5ft(\frac{12in}{1ft})[/tex]which is equal to
[tex]\begin{gathered} 1.5ft=(1.5)(12)IN \\ 1.5ft=18IN \end{gathered}[/tex]Similarly, for 2 ft we get
[tex]\begin{gathered} 2ft=(2ft)(\frac{12In}{1ft}) \\ 2ft=(2)(12In) \\ 2ft=24In \end{gathered}[/tex]Now, we can compare the bacterias in both scenarios. By applying the rule of three, we have
[tex]\begin{gathered} 452bacteria-----1in^2 \\ x---------(18)(24)in^2 \end{gathered}[/tex]then, x is equal to
[tex]\begin{gathered} x=\frac{(18)(24)(452)}{1} \\ x=(18)(24)(452) \\ x=195264\text{ bacteria} \end{gathered}[/tex]that is, in an area of (18)(24)in^2 , there are 195,264 bacterias. By rounding to the highest place value, the answer is 200,000 bacterias.