Squares and Square Roots Quiz

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Questions and Answers

Which of the following is the formula to find the area of a square?

  • A = 4s
  • A = s^2 (correct)
  • A = s/2
  • A = 2s

What is the square root of 64?

  • 6
  • 8 (correct)
  • 10
  • 4

What is the length of the diagonal of a square with a side length of 5 units?

  • 15 units
  • 5 units
  • 10 units (correct)
  • 25 units

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Study Notes

Geometry Formulas

  • The formula to find the area of a square is side² or s², where s is the length of the side.

Square Roots

  • The square root of 64 is 8, since 8 × 8 = 64.

Diagonal of a Square

  • The length of the diagonal of a square with a side length of 5 units can be found using the Pythagorean theorem: diagonal = √(5² + 5²) = √(25 + 25) = √50.
  • Alternatively, the diagonal of a square can be found using the formula diagonal = side × √2, where side is the length of the side.

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