Given:
The number of square boxes in the horizontal direction is 4.
The number of square boxes in the vertical direction is 3.
The side measure of each square box is,
![2(1)/(4)inches](https://img.qammunity.org/2023/formulas/mathematics/high-school/o7zmj4334w3ensczpea4rm2z9mreyu4niu.png)
To find: The area of the rectangle.
Step-by-step explanation:
The formula of the area of the rectangle is,
![A=l* b](https://img.qammunity.org/2023/formulas/mathematics/college/doah6yfbvx9idpuhs69p8mjpgmoyq59fn1.png)
Here,
![\begin{gathered} l=4*2(1)/(4) \\ l=4*(9)/(4) \\ \Rightarrow l=9inches \\ b=3*2(1)/(4) \\ b=3*(9)/(4) \\ \Rightarrow b=(27)/(4)inches \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/f77hua2k9hnf8u5lzbnasqk967vo4k9uqc.png)
The area of the rectangle is,
![\begin{gathered} A=9*(27)/(4) \\ =(243)/(4) \\ =60.75\text{ }square\text{ inches} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/xw75687lrhoygzlms2y6kgmfji3rhovb3i.png)
Final answer:
The area of the rectangle is 60.75 square inches.