Question

Both triangles are similar. The area of the larger triangle is about 382 ft2. Which is the best approximation for the area of the smaller triangle?
smaller ones 30ft theother is 42

273 ft2


195 ft2


137 ft2


325 ft2

Answer 1

Answer: SECOND OPTION

Step-by-step explanation:

You must find the ratio of the sides of the triangle, as following:

$r=\frac{30}{42}=\frac{5}{7}$

Therefore, the ratio of the areas is:

$r_A=(\frac{5}{7})^{2}\\\\r_A=\frac{25}{49}$

Now you must multiply the area of the larger triangle by the ratio obtained above, therefore, you have that the result is:

$A_s=(382ft^{2})(\frac{25}{49})=194.89ft^{2}$≈$195ft^{2}$