Respuesta :
Answer: D- 97.4
Step-by-step explanation:
For the scale factor of 1:3. Use ratio and proportion to solve for the area of the triangle.
area of triangle RST/ area of triangle XYZ = (1/3)^2
where
area of traianlge RST = 10.825 inch^2
Area of triangle XYZ= Area of triangle RST x (3)^2
Substitute the given values=97.4 inch^2
Answer:
≈ 97.4 in²
Step-by-step explanation:
Given that the ratio of the perimeter = a : b
then ratio of areas = a² : b²
The ratio of perimeter = 1 : 3 , thus
ratio of area = 1² : 3² = 1 : 9
The area of Δ XYZ is therefore 9 times the area of Δ RST
area of Δ XYZ = 9 × 10.825 = 97.425 ≈ 97.4 ( to the nearest tenth )
