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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].
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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