Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -3/4 is applied to triangle XYZ to obtain triangle X'Y"Z. Let A be the area of the region that is contained in both triangles XYZ and X'Y"Z Find A/[XYZ].
See https://web2.0calc.com/questions/help_54234
If you use the same calculations, you get an answer of 7/12.