According to the Math Notes box from Lesson 9.2.2:

$\text{What original perimeter times the scale factor }\frac{10}{3} \text{ equals the enlarged perimeter of 36 m?}$

This can be represented by the following equation with the original perimeter defined as x.

$\frac{10}{3} x = 36$

According to the Math Notes box from Lesson 9.2.2:

$\text{What would the area be if the scale factor is } \frac{10}{3} ?$

$\text{If the area ratio is } \frac{100}{9} \text{, create an expression like the one given above to solve for the original area.}$

2.25 square meters