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Area of a Square

Essay

For a square, write the formulas for area and side length. Which square root is used?

Question: For a square, write the formulas for area and side length. Which square root is used?

Sample answer: The area formula is $A=s^2$ . The side length formula is $s=\sqrt{A}$ . Use the principal (positive) square root because side length is positive.

Key points:

Area: $A=s^2$
Side length: $s=\sqrt{A}$
Use the principal (positive) square root.
A side length is positive.

Rubric: Full credit: Gives both correct formulas and identifies the principal (positive) square root with a correct reason.

Updated 2026-08-30

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