Question

1. both triangles are similar. the area of the smaller triangle is about 270 ft². which is the best approximation for the area of the larger triangle?

25 ft
35 ft
450 ft²
630 ft²
500 ft²
470 ft²

Explanation:

Step1: Find scale factor

Scale factor = $\frac{35}{25} = 1.4$

Step2: Find area ratio

Area ratio = $1.4^2 = 1.96$

Step3: Calculate larger area

Larger area = $270 \times 1.96 \approx 500$ ft²

Answer:

500 ft²