Question:
Column A and Column B consist of two quantities. You are to compare the two quantities.
Column A Column B Perimeter of a square with each side equal to 6 cm Perimeter of a regular pentagon with each side equal to 4 cm
What is the comparison between the quantities in Column A and Column B?
Column A and Column B consist of two quantities. You are to compare the two quantities.
What is the comparison between the quantities in Column A and Column B?
| Column A | Column B |
| Perimeter of a square with each side equal to 6 cm | Perimeter of a regular pentagon with each side equal to 4 cm |
Show Hint
To calculate the perimeter of a polygon, multiply the number of sides by the length of one side.
Updated On: Mar 7, 2025
- if the quantity in Column A is greater than the quantity in Column B.
- if the quantity in Column B is greater than the quantity in Column A.
- if the quantities are equal.
- if the comparison cannot be made.
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The Correct Option is A
Solution and Explanation
- Column A: The perimeter of a square is calculated using the formula:
\[ \text{Perimeter of square} = 4 \times \text{side} \] Given that the side of the square is 6 cm, the perimeter of the square is: \[ 4 \times 6 = 24 \text{ cm} \]
- Column B: The perimeter of a regular pentagon is calculated using the formula:
\[ \text{Perimeter of pentagon} = 5 \times \text{side} \] Given that the side of the pentagon is 4 cm, the perimeter of the pentagon is: \[ 5 \times 4 = 20 \text{ cm} \] Since the perimeter of the square (24 cm) is greater than the perimeter of the pentagon (20 cm), the correct answer is (A).
\[ \text{Perimeter of square} = 4 \times \text{side} \] Given that the side of the square is 6 cm, the perimeter of the square is: \[ 4 \times 6 = 24 \text{ cm} \]
- Column B: The perimeter of a regular pentagon is calculated using the formula:
\[ \text{Perimeter of pentagon} = 5 \times \text{side} \] Given that the side of the pentagon is 4 cm, the perimeter of the pentagon is: \[ 5 \times 4 = 20 \text{ cm} \] Since the perimeter of the square (24 cm) is greater than the perimeter of the pentagon (20 cm), the correct answer is (A).
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