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;
![\begin{gathered} x* y=24 \\ xy=24 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ynhqcifegj1iz1xru0fb9l1x4n5b70zqgo.png)
If the length and width of the rectangle are multiplied by 5;
![\begin{gathered} A=5x*5y \\ A=25xy \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f539hf1n26981rh4d257h677k5x1j3ipj5.png)
recall that;
![xy=24](https://img.qammunity.org/2023/formulas/mathematics/college/dcdaoojjsbvdmaujij73ht1oou7u4l3jbn.png)
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]()