271. Three Tablecloths. One morning at breakfast, Mrs. Crackham announced to all present that a friend had given her three wonderful tablecloths, all square with a side of 144 cm. Mrs. Crackham asked those present to name the maximum dimensions of a square table that could be covered with all three tablecloths at the same time. The tablecloths could be placed on the table in any way, as long as the entire surface of the table was covered. The answer was required to be given to the nearest centimeter.
271. Three tablecloths measuring \(144 \times 144\) cm will cover a table measuring \(183 \times 183\) cm if they are placed as shown in the figure. Square \(A B C D\) is the tabletop, and squares 1, 2, and 3 are the tablecloths. Parts of the second and third tablecloths, of course, will hang off the table.

![](https://cdn.mathpix.com/cropped/2024_05_21_56f37ca27ac3d928838dg-238.jpg?height=457&width=445&top_left_y=1345&top_left_x=814)