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

Video Transcription

Video Summary

The problem involves a rhombus whose area is increased by adding two right triangles. By analyzing the figure's symmetry, it's found that the rhombus, divided by its diagonals, forms six triangles of equal area—four originally and two added. The area increase is calculated using the formula \((\text{new area} - \text{original area})/\text{original area} \times 100\%\), resulting in \((6 - 4)/4 \times 100\%\), which equals a 50% increase. Therefore, the area of the rhombus increases by 50%, making the answer to the problem 50%.

Keywords

rhombus

area increase

right triangles

symmetry

percentage calculation