Answer: SECOND OPTION
Step-by-step explanation:
You must find the ratio of the sides of the triangle, as following:
[tex]r=\frac{30}{42}=\frac{5}{7}[/tex]
Therefore, the ratio of the areas is:
[tex]r_A=(\frac{5}{7})^{2}\\\\r_A=\frac{25}{49}[/tex]
Now you must multiply the area of the larger triangle by the ratio obtained above, therefore, you have that the result is:
[tex]A_s=(382ft^{2})(\frac{25}{49})=194.89ft^{2}[/tex]≈[tex]195ft^{2}[/tex]
