SOLUTION
The area of the rectangular floor is obtained by the formula
![\text{Area}=\text{Length x width}](https://img.qammunity.org/2023/formulas/mathematics/college/pycr235m7bu9rkytuht4g1tf0bkrfo18c7.png)
From the question we have
![\begin{gathered} \text{lenght}=7\text{feet}-3\text{inches } \\ \text{width}=4\text{feet - 2inches } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hx1ohm48als53nk1wut2o877aqdr74835e.png)
Convert the value to the same dimentions in inches
![\begin{gathered} 1\text{ foot =12 inces } \\ \text{the } \\ 7\text{ f}eet=12*7=84inches\text{ } \\ \text{The 7 f}eet-3inches=84+3=87inches\text{ } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tv8jpc216no9r11ze9a611c6k0jjehgw2z.png)
Similarly, for the other dimenstion, we have
![\begin{gathered} 4\text{feet}=12*4=48\text{inches } \\ \text{Then} \\ 4\text{ fe}et-2inches=48inches+2inches=50inches\text{ } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/uvgamny4e3kje662mjyc1ucyuhn79gl1b6.png)
The substitute into the formula for area, we have
![\text{Area}=50*87=4350inches^2](https://img.qammunity.org/2023/formulas/mathematics/college/tzkl6ij3pls8hhvmc1jhsqhg6undrlmwgq.png)
Hence
The Area of the rectangular floor is 4350in²