Grades 9-10 Video Solutions 2024-2024_9-10

Video Transcription

Video Summary

The problem involves a rectangle divided into three regions of equal area: an equilateral triangle and two trapezoids. The triangle's side length is 4 cm, giving it an area of \(4\sqrt{3}\) using its altitude of \(2\sqrt{3}\). Thus, the rectangle's total area is \(12\sqrt{3}\). The rectangle's length is \(3\sqrt{3}\), and since the triangle's altitude occupies \(2\sqrt{3}\) of this length, the remaining portion, which is the shorter side of the trapezoids, is \(\sqrt{3}\). Therefore, the length of the shorter parallel side of the trapezoids is \(\sqrt{3}\) cm.

Keywords

rectangle

equilateral triangle

trapezoids

geometry

area