Answer:
No solution
Explanation:
Let's write the two pieces of information algebraically.
Perimeter of rectangle is 34cm:
![2l+2w=34](https://img.qammunity.org/2023/formulas/mathematics/high-school/9kfhmfv74250b43isv9y1oc8d51v5qc8hm.png)
Area of rectangle is 66cm^2:
![l*w=66](https://img.qammunity.org/2023/formulas/mathematics/high-school/jy6uljpcdkhl7pbjawq0wesmukok5em4bd.png)
Since we have two equations and two variables, we can solve for both values.
I'll leave the work for you but there are no valid solutions.