In the following figure, the largest square is divided into two squares and three rectangles, as shown:The area of each smaller square is equal to a and the area of each small rectangle is equal to b. If a+b=24 and the root square of a is a natural number, find all possible values for the area of the largest square.
https://cdn.artofproblemsolving.com/attachments/f/a/0b424d9c293889b24d9f31b1531bed5081081f.png geometryareasrectanglesquare