Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -4/3 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].
Similar question: https://web2.0calc.com/questions/help_54234#r3
If I'm not mistaken, the answer is: A / [XYZ] = 851/999