Final answer:
The goal is to determine the area of a square with the side length of 65√ inches using the formula for area, A=a², where 'a' is the side length.
Step-by-step explanation:
The question pertains to the calculation of the area of a square with given side length, and comparison with the area of a circle enclosed within another square. When considering the area of a square, the formula to use is Area = side × side or a².
If a square has a side length of 65√ inches, one can calculate the area by squaring the side length. As for the pythagorean theorem, it is used to determine the lengths of the sides of a right triangle when the hypotenuse and one side are known.
To calculate the area of a larger square when the dimensions are scaled by a certain factor, one should multiply the original side length by the scale factor. For example, with a scale factor of 2, a side length of 4 inches would result in a larger square with side lengths of 8 inches.