2018 AMC 10B Problems/Problem 24

(This is not the exact wording of the question)

Problem

Let ABCDEFG be a regular hexagon with side length 1. Denote X, Y, and Z the midpoints of sides (segment) AB, (segment) CD, and (segment) EF, respectively. What is the area of the convex hexagon whose interior is the intersection of the interiors of (insert) triangle symbol) ACE and (insert triangle symbol) XYZ?

Answer: 15sqrt(3)/32