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

Video Transcription

Video Summary

The video explains how to calculate the area of a shaded trapezoid formed from three squares with side lengths of 3cm, 5cm, and 8cm. By leveraging similar triangles, it determines that the lengths of the vertical side (P) and right side (Q) are \( \frac{3}{2} \) and 4 cm, respectively. Using the trapezoid area formula, where the area is calculated as \(( \text{base}_1 + \text{base}_2 ) / 2 \times \text{height}\), they determine that with a height of 5 cm, the area is \( \frac{55}{4} \) cm\(^2\). The solution confirms the correct area answer is choice B.

Keywords

trapezoid area

similar triangles

squares side lengths

geometry calculation

shaded trapezoid