Grades 7-8 Video Solutions 2024-2024_7-8

Video Transcription

Video Summary

In this problem, a pentagon ABCDE has specific properties: angles A and B are 90 degrees, AE equals BC, and ED equals DC. The pentagon is divided into smaller shapes using parallel and perpendicular lines. The dark shaded region is 13 cm², and the light shaded region is 10 cm². By breaking down the pentagon into triangles and rectangles, the areas are calculated. Using symmetry and given dimensions, the smallest trapezoid has an area of 6 cm². By summing the areas of all regions (including symmetric counterparts), the total area of the pentagon is 45 cm².

Keywords

pentagon

geometry

area calculation

symmetry

trapezoid