Answer:
7
Explanation:
The area of the rectangular piece of paper is 0.42
.
The area of each small rectangle is 600
![cm^2](https://img.qammunity.org/2021/formulas/mathematics/college/61e8u9cfza9ghk51td2ae543e9polghsyy.png)
To know the maximum number of rectangles she can cut, we have to simply divide the area of the piece of paper by the area of the smaller rectangles.
Let us first convert the area of the smaller rectangles to
.
![10000 cm^2 = 1 m^2\\\\\\=> 600 cm^2 = (600)/(10000) = 0.06 m^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/nq1f4k8lsq8p3z802qulwqgpgbsi96tfzm.png)
Hence, the maximum number of rectangles that she can cut is:
![(0.42)/(0.06) = 7](https://img.qammunity.org/2021/formulas/mathematics/high-school/3smjcgo2biuzb6iczssogcwu64w79knav8.png)
She can cut at most 7 smaller rectangles.