Tharun is working on a craft project. He has a perfect square piece of clay, each side measuring 20 cm.To create two different rectangular clay strips for decoration, he decides to cut the square clay using a straight line that is parallel to one of its sides. After cutting, the square clay gets divided into two rectangles of different breadths \(9 \ cm\) and \(11 \ cm\). Since the cut is parallel to a side, the length of both rectangles remains the same as the original square’s side.
Based on the given information solve the following questions
1.What feature of a square makes the length of both resulting rectamgles identical?
2. Which property do the original square clay and the two rectangles share after the cut?
3. The two rectangles have different breadths \(9\) and \(11\). What can be said about their diagonals?
4.Since Tharun started with a square clay, the two rectangles formed must also be squares. Is the correct and why?