Grades 9-10 Video Solutions 2025-2025_9-10

Video Transcription

Video Summary

The problem involves finding the perimeter of square ABCD, which contains overlapping rectangles. By naming the overlapping segments X and Y, and using the area of overlap (18 cm²) and given dimensions, it's established that \( Y = X + 3 \) and \( XY = 18 \). Solving these equations reveals \( X = 3 \). Consequently, AD is calculated as \( 5 + 7 - 3 = 9 \). Since ABCD is a square with side length 9, its perimeter is \( 4 \times 9 = 36 \). Thus, the perimeter of ABCD is 36 centimeters.

Keywords

perimeter

square ABCD

overlapping rectangles

area of overlap

geometry problem