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Questions and Answers

What is the formula for calculating the perimeter of a square?

  • 4 * side length (correct)
  • 2 * (length + width)
  • side length * side length
  • (length + width) / 2

If a square has a perimeter of 20 units, what is the length of each side?

  • 4 units
  • 8 units
  • 10 units
  • 5 units (correct)

How does the perimeter of a rectangle change if its length is doubled and width remains the same?

  • Halves
  • Doubles
  • Remains the same (correct)
  • Increases by the sum of length and width

What is the formula for calculating the perimeter of a square?

<p>4 * side length (C)</p> Signup and view all the answers

If a rectangle has a length of 6 units and a width of 4 units, what is its perimeter?

<p>24 units (B)</p> Signup and view all the answers

If the perimeter of a square is 40 units, what is the length of each side?

<p>10 units (C)</p> Signup and view all the answers

Flashcards

Perimeter of a square formula

Multiply the side length by 4

Perimeter of square (20 units)

Each side is 5 units long

Rectangle length doubled

Perimeter stays the same (width constant)

Perimeter of a square formula (again)

4 times the side length.

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Rectangle (length 6, width 4)

Perimeter is 20 units.

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Square with perimeter 40

Each side is 10 units long

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Study Notes

Perimeter of a Square

  • The formula to calculate the perimeter of a square is P = 4s, where P is the perimeter and s is the length of one side.
  • For a square with a perimeter of 20 units, each side length can be found by rearranging the formula: s = P/4, which results in s = 20/4 = 5 units.
  • If the perimeter of a square is 40 units, the side length is calculated similarly: s = 40/4 = 10 units.

Perimeter of a Rectangle

  • The perimeter of a rectangle is calculated using the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
  • If the length of a rectangle is doubled while the width remains constant, the new perimeter is calculated as follows:
    • Original perimeter: P = 2(l + w)
    • New perimeter after doubling the length: P' = 2(2l + w) = 4l + 2w, indicating an increase in perimeter.
  • For a rectangle with a length of 6 units and a width of 4 units, the perimeter is P = 2(6 + 4) = 2(10) = 20 units.

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