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The length of a rectangle is 15 inches a...

The length of a rectangle is 15 inches and the breadth 12 inches. Calculate its area in SI units.

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To calculate the area of a rectangle given its dimensions in inches and convert it to SI units (square meters), follow these steps: ### Step-by-Step Solution: 1. **Identify the dimensions of the rectangle**: - Length = 15 inches - Breadth = 12 inches 2. **Convert inches to meters**: - We know that 1 inch = 0.0254 meters. - Therefore, to convert the length from inches to meters: \[ \text{Length in meters} = 15 \, \text{inches} \times 0.0254 \, \text{meters/inch} = 0.381 \, \text{meters} \] - To convert the breadth from inches to meters: \[ \text{Breadth in meters} = 12 \, \text{inches} \times 0.0254 \, \text{meters/inch} = 0.3048 \, \text{meters} \] 3. **Calculate the area of the rectangle**: - The formula for the area of a rectangle is: \[ \text{Area} = \text{Length} \times \text{Breadth} \] - Substituting the values we converted: \[ \text{Area} = 0.381 \, \text{meters} \times 0.3048 \, \text{meters} \] - Performing the multiplication: \[ \text{Area} = 0.1161 \, \text{square meters} \] 4. **Final result**: - The area of the rectangle in SI units is: \[ \text{Area} = 0.1161 \, \text{m}^2 \]
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