Squaring Numbers and Perimeter Calculation

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Questions and Answers

What is the square of 7?

  • 56
  • 21
  • 49 (correct)
  • 14

Which of the following numbers is a perfect square?

  • 45
  • 30
  • 12
  • 25 (correct)

What is the perimeter of a square with an area of 36 cm²?

  • 18 cm
  • 12 cm
  • 24 cm (correct)
  • 36 cm

Which of the following statements describes a number that is not a perfect square?

<p>It cannot form a complete square shape using tiles. (C)</p> Signup and view all the answers

If the side length of a square is 4 units, what is its area?

<p>16 square units (C)</p> Signup and view all the answers

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Study Notes

Squaring a Number

  • Squaring a number involves multiplying it by itself.
  • This is represented by raising the number to the power of two.
  • The result is known as the square of the number.
  • For example, the square of 5 is 5 x 5 = 25, written as 5² = 25.

Representing Square Numbers

  • A square number can be visually represented by drawing a square whose area is equal to the square number.
  • For example, 25 can be represented by a square with a side length of 5 units.

Calculating Perimeter

  • To calculate the perimeter of a square, first determine the side length.
  • The side length is the square root of the area.
  • Add all the sides together to find the perimeter.
  • For instance, a square with an area of 9 cm² has a side length of 3 cm (3 x 3=9).
  • The perimeter of this square is 12 cm (3 cm + 3 cm + 3 cm + 3 cm).

Perfect Squares

  • A perfect square is a number that can be represented by a square using a whole number of units.
  • For example, 16 is a perfect square as it can be represented by a square with a side length of 4 units.
  • A number is not a perfect square if it cannot be represented by a square using a whole number of units.
  • For example, 20 is not a perfect square, as it can only be represented by a 4 x 5 rectangle.

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