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A common envelope is 24.2 centimeters long and 10.5 centimeters wide. What is the area of the envelope in square inches?

A. [tex]\( 78.8 \, \text{in}^2 \)[/tex]
B. [tex]\( 39.4 \, \text{in}^2 \)[/tex]
C. [tex]\( 1640 \, \text{in}^2 \)[/tex]
D. [tex]\( 62 \, \text{in}^2 \)[/tex]
E. [tex]\( 254 \, \text{in}^2 \)[/tex]

Answer :

To find the area of the common envelope in square inches, we first need to convert the dimensions from centimeters to inches, then calculate the area.

1. Understand the conversion factor: 1 centimeter is equal to approximately 0.393701 inches.

2. Convert the dimensions:
- Length: 24.2 cm needs to be converted to inches.
- [tex]\( 24.2 \, \text{cm} \times 0.393701 \, \text{in/cm} = 9.5275642 \, \text{inches} \)[/tex]
- Width: 10.5 cm needs to be converted to inches.
- [tex]\( 10.5 \, \text{cm} \times 0.393701 \, \text{in/cm} = 4.1338605 \, \text{inches} \)[/tex]

3. Calculate the area in square inches:
- Multiply the converted length and width to find the area.
- [tex]\( 9.5275642 \, \text{inches} \times 4.1338605 \, \text{inches} = 39.3856213075941 \, \text{square inches} \)[/tex]

The area of the envelope in square inches is approximately [tex]\(39.4 \, \text{in}^2\)[/tex].

Therefore, the correct answer from the options given is [tex]\(39.4 \, \text{in}^2\)[/tex].

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Rewritten by : Jeany