The answer is: 117m²
The explanation is shown below:
1. You have the following information given in the problem:
- The triangle has an area of 13 m².
- The dimensions of the triangle are increased by a scale factor of 3.
2. Therefore, to solve the exercise you must multiply the area by [tex]3^{2}=9[/tex], as following:
[tex]A=(13m^{2})(9)\\A=117m^{2}[/tex]