Grades 11-12 Video Solutions 2025-2025_11-12

Video Transcription

Video Summary

The problem involves a regular hexagon where specific areas of triangles are given, and we need to find the area of another triangle. The transcript describes a method using complementary counting to subtract known triangle areas from the total area of the hexagon to find the area of triangle APF. The hexagon is divided into equilateral triangles, each with an area of 32. The known areas of triangles PEF and PDE are 64 and 42, respectively. Subtracting these from the hexagon's total area of 192 leaves the area of triangle APF as 54, which corresponds to option B.