120 seconds = ? minutes, 6:44 + 2:13 = ?, 3:20 + 2:50 = ?, The area of rectangle = ?, The area of square = ?, A square of side length 6 cm, its area = ?

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Understand the Problem

The question consists of several math problems related to basic arithmetic operations and formulas for area calculations. It prompts the solver to fill in the correct answers for conversions and geometric area formulas.

Answer

2, 8:57, 6:10, \( L \times W \), \( L \times L \), 36 cm²
Answer for screen readers
  1. 2
  2. 8:57
  3. 6:10
  4. $L \times W$
  5. $L \times L$
  6. 36 cm²

Steps to Solve

  1. Convert seconds to minutes
    To convert 120 seconds to minutes, divide by 60.
    $$ \text{minutes} = \frac{120 \text{ seconds}}{60} = 2 \text{ minutes} $$

  2. Calculate the time
    For the equation $6:44 + 2:13$, add the minutes and seconds separately.
    $$ 44 + 13 = 57 \text{ minutes} $$
    Add the hours:
    $$ 6 + 2 = 8 \text{ hours} $$
    Thus, the total time is $8:57$.

  3. Perform the addition
    For $3:20 + 2:50$, add minutes and seconds:
    $$ 20 + 50 = 70 \text{ minutes} \Rightarrow 1 \text{ hour} + 10 \text{ minutes} $$
    Add the hours:
    $$ 3 + 2 + 1 = 6 \text{ hours} $$
    So, the total is $6:10$.

  4. Identify the area of a rectangle
    The area of a rectangle is calculated as:
    $$ \text{Area} = L \times W $$

  5. Identify the area of a square
    The area of a square is calculated as:
    $$ \text{Area} = L \times L \text{ (or } L^2\text{)} $$

  6. Calculate the area of a square with side length 6 cm
    Substituting $L = 6$ into the area formula:
    $$ \text{Area} = 6 \times 6 = 36 \text{ cm}^2 $$

  1. 2
  2. 8:57
  3. 6:10
  4. $L \times W$
  5. $L \times L$
  6. 36 cm²

More Information

The area of a rectangle is determined by multiplying its length by its width, while for a square, you only need the length of one side since all sides are equal. The conversions and additions involving time help develop practical arithmetic skills needed in daily life.

Tips

  • For time conversions: Not remembering to divide by 60 when converting seconds to minutes.
  • For the area formulas: Confusing the rectangle area formula with the square area formula.
  • For calculations: Not properly separating minutes and hours when performing additions.

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