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Answer:

The diagonal length of the desk is 7.42462120246 inches.

Step-by-step explanation:

Since it is a square then all sides are equal which means we can easily formulate the pythagorean theorem on the diagonal length of the desk.

a^2 + b^2 = c^2

A and B are the same (width and length) since it is a square.

5.25^2 + 5.25^2 = c^2

27.5625 + 27.5625 = c^2

55.125 = c^2

Put c^2 under a square root (apply to both sides)

square root of 55.125 = 7.42462120246 = c