Grades 9-10 Video Solutions 2023-2023_9-10

Video Transcription

Video Summary

The problem involves determining the fraction of a rectangle's area that is shaded. Given that points M and N are midpoints of two sides of the rectangle, the analysis involves identifying smaller regions (1 to 5) within the rectangle. Each of these regions is found to occupy one-quarter of the area they cover due to symmetry and similarity arguments. Summing these areas results in the shaded regions collectively occupying one-quarter of the total rectangle's area. The correct answer to the problem is therefore that the shaded area is \(\frac{1}{4}\) of the rectangle's total area.

Keywords

rectangle

shaded area

midpoints

symmetry

fraction