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There are no four-digit perfect squares that are palindromes.
No. Consider four points at the corners of a perfect square.
The states are not the 4 corners. The "4 corners" is the point where the bordersof four states all meet. The states are Arizona, New Mexico, Utah, and Colorado.
It is located in in the following states: Colorodo, New Mexico, Arizona and, Utah. It is on the corners of those states.
Take out a map of the U.S. Locate Arizona. Look at its borders with other states, and find the four right angles. These are the "Four Corners" states.