Grades 7-8 Video Solutions 2021-video 2021 7-8/30

Video Transcription

Video Summary

The problem involves a large quadrilateral divided into smaller quadrilaterals with a common vertex K, where sides are divided into three equal parts. By analyzing given areas and relationships between triangles, we derive key equations: \(2A + 2B = 18\), \(B + C = 8\), and \(2C + 2D = 10\). Solving these, we find \(A + B = 9\), \(C + D = 5\). Seeking the shaded quadrilateral's area, where \(A + D = 6\), we conclude the shaded area is 6. Hence, the answer is 6.

Keywords

quadrilateral

area calculation

vertex K

equations

shaded area