Answer:
Area of part 1: 3 *
=
![15√(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/bs6kw98hmfo2x6839zhhvsf21xfzethx7z.png)
Area of part 2:
![3√(2) * 5√(2)](https://img.qammunity.org/2021/formulas/mathematics/college/oa1im5jfr6wz83bexa3e1rbpe0kzobplz0.png)
![=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x1yd7mneey0jxf0xd8oh5vx6th46fwsnzj.png)
Area of entire rectangle:
![30 + 15√(2)](https://img.qammunity.org/2021/formulas/mathematics/college/wzyo5tyr6z7wiq3pucm2lblab7tmvhygsa.png)
Explanation:
The area of a rectangle can be found by using formula : length * width.
The area of part 1 can be simplified to this:
3 *
=
![15√(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/bs6kw98hmfo2x6839zhhvsf21xfzethx7z.png)
Area of part 2:
![3√(2) * 5√(2)](https://img.qammunity.org/2021/formulas/mathematics/college/oa1im5jfr6wz83bexa3e1rbpe0kzobplz0.png)
![=30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x1yd7mneey0jxf0xd8oh5vx6th46fwsnzj.png)
The area of the entire rectangle can simply be added from part 1 and part 2.
For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.