Grades 9-10 Video Solutions 2021-video 2021 9-10/25

Video Transcription

Video Summary

The problem involves two squares and a triangle. The smallest square, ABCD, has an area of 16, while triangle GDF has an area of 1. The task is to find the area of the larger square, GAFE. By calculating the area of triangle AED using the base and height derived from the smaller square's measurements, we find it equals 8. Noticing the relationship between the triangles and the larger square, it is established that 8 plus 1 equals half of the larger square's area. Solving for the larger square's area gives 18. Hence, the area of the larger square is 18.

Keywords

geometry

area calculation

squares and triangle

mathematical problem

larger square area