MathDB

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

Problem Statement