Answer:
The area of the object is;
![62\text{ sq cm}](https://img.qammunity.org/2023/formulas/mathematics/college/lc7gzbej7g58sjuusdrgddqdgufad0h6nt.png)
Step-by-step explanation:
Given the figure in the attached image.
We can find the area of the object by dividing the object into two rectangles and summing the areas of the two rectangles.
The area of the object equals the area of rectangle A plus Area of rectangle B;
![A=A_A+A_B](https://img.qammunity.org/2023/formulas/mathematics/college/lzu0mjuxbrx2z4qyj5sylkglbpz4lmgrnt.png)
Solving;
![\begin{gathered} A=(4*12)+(2*7) \\ A=48\text{ }cm^2+14\text{ }cm^2 \\ A=62\text{ }cm^2 \\ A=\text{ 62 sq cm} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vjq10n0epitkx80rnoxbl7ehgmhohtce82.png)
Therefore, the area of the object is;
![62\text{ sq cm}](https://img.qammunity.org/2023/formulas/mathematics/college/lc7gzbej7g58sjuusdrgddqdgufad0h6nt.png)