How Do You Calculate Area and Uncertainty for a Rectangular Plate?

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To calculate the area of a rectangular plate with a length of 23.2 cm (±0.2 cm) and a width of 9.0 cm (±0.1 cm), multiply the length by the width, resulting in an area of 208.88 cm². To determine the uncertainty in the area, apply the formula for propagation of uncertainty, which involves the relative uncertainties of both dimensions. The uncertainty in the area can be calculated using the formula: Area uncertainty = Area × √((ΔL/L)² + (ΔW/W)²), where ΔL and ΔW are the uncertainties in length and width, respectively. This approach yields an area uncertainty of approximately ±2.2 cm². For detailed examples and methods, refer to the provided link for further guidance.
potermic
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I am not to sure how to calculate this out

A rectangular plate has a length of 23.2 +/- .2 cm and a width of 9.0 +/- .1 cm. calculate the area and its uncertainty

Anyhelp would be greatly apriciated
 
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It's best to have a look at http://physicsed.buffalostate.edu/pubs/MeasurementAnalysis/MA1_9ed.pdf" . Both give explicit examples of your type of problem, but use different methods. I think the first one is the simpler.
 
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