Grades 11-12 Video Solutions 2013-Levels 11&12 Video Solutions 2013 problem16

Levels 11&12 Video Solutions 2013 problem16

Video Transcription

Video Summary

There are four unique rectangles that can be created when a rectangle with one side of length 5 is cut into a square and another rectangle, where one piece has an area of 4. The cases considered include different arrangements of the square and rectangle in terms of sides and constraints on areas. Solving for different values of \(x\) (where \(x\) represents possible side lengths), four solutions are found: \(x = 2\), \(x = \frac{4}{5}\), \(x = 4\), and \(x = 1\). Each value corresponds to a distinct rectangle configuration.

Keywords

rectangle

square

area

side length

solutions