We have the following information from the question:
• We have a science fair poster that is a rectangle, 3 feet in length, and 2 feet in width.
And we need to find the area of that rectangular poster in square inches.
To find the area in square inches, we can proceed as follows:
1. We can convert the given length and width to inches:
[tex]1\text{ foot=12inches}[/tex]Then we have:
[tex]3ft\rightarrow3ft*\frac{12inches}{1ft}=36inches[/tex]And also:
[tex]2ft\rightarrow2ft*\frac{12inches}{1ft}=24inches[/tex]2. Now, since the area of a rectangle can be found as the length times the width, then we have:
[tex]\begin{gathered} A_{\text{ poster in inches}}=l*w=36in*24in=864in^2 \\ \\ A_{\text{ poster in inches}}=864in^2 \end{gathered}[/tex]Therefore, in summary, the area of the science fair poster is, in square inches, equal to 864 square inches.