Answer:
The area of the new rectangle is;
![600\operatorname{cm}^2]()
Step-by-step explanation:
Given that the area of a rectangle is;
![24\operatorname{cm}^2]()
Let x and y represent the length and width;

If the length and width of the rectangle are multiplied by 5;

recall that;

so, we have;
![\begin{gathered} A=25(24) \\ A=600\operatorname{cm}^2 \end{gathered}]()
Therefore, the area of the new rectangle is;
![600\operatorname{cm}^2]()