The question provides two rectangles, one is a scale model while the other one is the actual figure.
The scale is given as;
[tex]1\operatorname{cm}\colon7m[/tex]
This means, for every centimeter on the model rectangle, the actual rectangle would be 7 meters. Therefore 2 centimeters on the model would be 7 times 2 meters on the actual rectangle.
Hence, the dimensions of the actual rectangle would be;
[tex]\begin{gathered} L=6\times7(\text{meters)} \\ W=4\times7(\text{meters)} \\ \text{Therefore,} \\ L=42m,W=28m \end{gathered}[/tex]
The area of the actual rectangle therefore would be;
[tex]\begin{gathered} A=L\times W \\ A=1176m^2 \end{gathered}[/tex]
ANSWER:
The area of the rectangle is
[tex]1176m^2[/tex]
