hello! I need some help on a problem. it's honestly driving me crazy and even my math tutor couldn't do it. I'm getting very angry and i feel like im going to explode jsdgfjss helpppp

Let $G$ be the center of equilateral triangle $XYZ.$ A dilation centered at $G$ with scale factor $-\frac{4}{3}$ 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 $\frac{A}{[XYZ]}.$

and here are ALLL the answers that i've tried:

4/9

11/27

20/27

73/200

73/100

5/9

ik this question has been answered SEVERAL times on this website, but seriously none of the answers are correct. im not sure if theres a bug in the website i use or if its just me T^T

TYSM in advance!!

Guest Jul 31, 2021