: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)

With the given triangles ΔRST and ΔXYZ, it is equilateral triangles and the ratio of the perimeter is 1:3
Perimeter ΔRST/ Perimeter ΔXYZ = 1/3

We are asked to solve for the area of ΔXYZ when the area of ΔRST is 10.825 in². The solution is shown below:
Area ΔRST/ Area ΔXYZ = 1/3
10.825 / Area ΔXYZ = 1/3
Area ΔXYZ = 3* 10.825
Area ΔXYZ= 32.475 in²