Δrst and δxyz are equilateral triangles. the ratio of the perimeter of δrst to the perimeter of δxyz is 1 to 3. the area of δrst is 10.825 square inches. what is the area of δxyz? (round to nearest tenth)

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