Grades 11-12 Video Solutions 2023-2023_11-12

Video Transcription

Video Summary

In this problem, a pentagon is divided into triangles, and the task is to find the area of a shaded quadrilateral, labeled as P, by using area relationships between triangles. By assigning variables to areas and side lengths, the ratios of those side lengths help to determine the areas. The problem uses the concept that triangles sharing a common height have area ratios equivalent to the ratios of their differing bases. Applying this, the areas of triangles X and Y are calculated as 6 and 10, respectively, leading to the sum, and thus the area of P is 16. The correct answer is C.

Keywords

pentagon

triangles

area

ratios

quadrilateral