Grades 7-8 Video Solutions 2023-2023_7-8

Video Transcription

Video Summary

To solve the problem of finding the ratio of the area of the small hexagon to the big hexagon, a regular hexagon is divided into four quadrilaterals and one smaller regular hexagon. The shaded region's area and the small hexagon share a ratio of 4 to 3. Assuming the small hexagon has an area of 3 units, the corresponding unshaded areas mirror the same ratio. If the shaded regions together have an area of 8, combining all gives a total area for the big hexagon. Therefore, the ratio of the small hexagon to the big hexagon is 3 to 11.

Keywords

hexagon

area ratio

geometry

quadrilaterals

shaded region