【Question 7】
A wire 78 cm long, with a red dot painted every 3 cm. The wire is bent at the red dots to form a rectangle. What is the maximum area of the rectangle formed in square centimeters?
【Analysis and Solution】
$$
\begin{array}{l}
78 \div 3=26 \text { segments; } \\
\text { Length }+ \text { Width }=26 \div 2=13 ;
\end{array}
$$

When the length $=7$ segments $=21$ cm, and the width $=6$ segments $=18$ cm, the area of the rectangle formed is maximized, $21 \times 18=378$ square cm.