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Answer :
To calculate the PSI (pounds per square inch) for this situation, we need to know the weight of the person and the area over which this weight is distributed. Let's break it down step by step:
1. Identify the Weight:
- Your brother weighs 135 pounds.
2. Identify the Area of the Board:
- The dimensions of the board are given as 12 inches by 24 inches.
3. Calculate the Area:
- Multiply the length and width of the board to find the area:
[tex]\[
\text{Area} = 12 \, \text{inches} \times 24 \, \text{inches} = 288 \, \text{square inches}
\][/tex]
4. Calculate the PSI (Pressure):
- PSI is calculated by dividing the weight by the area over which the weight is distributed:
[tex]\[
\text{PSI} = \frac{\text{Weight}}{\text{Area}} = \frac{135 \, \text{pounds}}{288 \, \text{square inches}} \approx 0.46875 \, \text{PSI}
\][/tex]
5. Round the PSI:
- Since the question asks for the closest answer after rounding, we can round 0.46875 to 0.47.
Therefore, the closest answer from the given options is 0.47.
1. Identify the Weight:
- Your brother weighs 135 pounds.
2. Identify the Area of the Board:
- The dimensions of the board are given as 12 inches by 24 inches.
3. Calculate the Area:
- Multiply the length and width of the board to find the area:
[tex]\[
\text{Area} = 12 \, \text{inches} \times 24 \, \text{inches} = 288 \, \text{square inches}
\][/tex]
4. Calculate the PSI (Pressure):
- PSI is calculated by dividing the weight by the area over which the weight is distributed:
[tex]\[
\text{PSI} = \frac{\text{Weight}}{\text{Area}} = \frac{135 \, \text{pounds}}{288 \, \text{square inches}} \approx 0.46875 \, \text{PSI}
\][/tex]
5. Round the PSI:
- Since the question asks for the closest answer after rounding, we can round 0.46875 to 0.47.
Therefore, the closest answer from the given options is 0.47.
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