Tharun is working on a craft project. He has a perfect square piece of clay, each side measuring 32 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 \(15 \ cm\) and \(17 \ cm\). 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.Which property of the original square explains why the two rectangles have the same horizontal dimension?
2. Which geometric feature is common between the original square clay and both rectangles created from it?
3. The two rectangles have different breadths \(15\) and \(17\). 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?