Which of the following formulas would correctly calculate the perimeter of a legal-sized piece of paper that is 14 inches long and 8 1/2 inches wide?

Which of the following formulas would correctly calculate the perimeter of a legal-sized piece of paper that is 14 inches long and 8 1/2 inches wide?

• A. P = 2(14 + 8 1/2)
• B. P = 14 + 8 1/2 + 14 + 8 1/2
• C. P = 14 x 8 1/2
• D. P = 14 + 14 + 8 1/2 + 8 1/2

Answer: (B)

To determine the perimeter of a rectangle, you can use the formula that involves adding together all the sides of the rectangle. In this case, the legal-sized piece of paper has a length of 14 inches and a width of 8.5 inches. The formula for the perimeter \( P \) of a rectangle is typically given as: \[ P = 2(\text{length} + \text{width}) \] However, just adding all the sides directly will also yield the same result. The correct approach is to sum the lengths of all sides: two lengths and two widths. In this case, adding the lengths gives you: - Two lengths: \( 14 + 14 \) - Two widths: \( 8.5 + 8.5 \) When you add these together, you effectively calculate the perimeter: \[ P = 14 + 14 + 8.5 + 8.5 \] This corresponds to the choice presented. The perimeter can also be simplified using the addition formula, but the method of directly adding each side is valid and results in the same perimeter value of 45 inches. This demonstrates the calculation correctly leads to the answer, affirming why this formula works perfectly for determining

To determine the perimeter of a rectangle, you can use the formula that involves adding together all the sides of the rectangle. In this case, the legal-sized piece of paper has a length of 14 inches and a width of 8.5 inches.

The formula for the perimeter ( P ) of a rectangle is typically given as:

[ P = 2(\text{length} + \text{width}) ]

However, just adding all the sides directly will also yield the same result. The correct approach is to sum the lengths of all sides: two lengths and two widths. In this case, adding the lengths gives you:

• Two lengths: ( 14 + 14 )

• Two widths: ( 8.5 + 8.5 )

When you add these together, you effectively calculate the perimeter:

[ P = 14 + 14 + 8.5 + 8.5 ]

This corresponds to the choice presented. The perimeter can also be simplified using the addition formula, but the method of directly adding each side is valid and results in the same perimeter value of 45 inches.

This demonstrates the calculation correctly leads to the answer, affirming why this formula works perfectly for determining