On a Cartesian coordinate plane, points $(2,1)$ and $(3, 4)$ are adjacent points on a square. What is the area of the square?

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A = 10 units².

Step-by-step explanation:

To solve this, we need to find the distance between the two points to derive the side-lengths of the square. Use the distance formula:

Plug in points into the formula to find the distance:

Simplify:

Find the area of the square using the formula A = s² where s = √10:

A = (√10)²

A = 10 units².

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step-by-step explanation:

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step-by-step explanation: