The length and breadth of a rectangle are `( 5.7 +- 0.1 ) cm and ( 3.4 +- 0.2 ) cm`, respectively calculate the area of rectangle with error limits.
Text Solution
AI Generated Solution
To calculate the area of a rectangle with given dimensions and their respective uncertainties, we can follow these steps:
### Step 1: Identify the dimensions and their uncertainties
- Length (L) = \( 5.7 \, \text{cm} \) with uncertainty \( \Delta L = 0.1 \, \text{cm} \)
- Breadth (B) = \( 3.4 \, \text{cm} \) with uncertainty \( \Delta B = 0.2 \, \text{cm} \)
### Step 2: Calculate the area of the rectangle
The area (A) of a rectangle is given by the formula:
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