You are watching: The length and width of a rectangular room are measured to be

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This is university Physics Answers with Shaun Dychko We"re given the length and width that a room and also our job is to uncover its area and then express that area with skepticism as well. So, the size is 3.955 plus or minus 0.005 meters, and also the broad is 3.05 to add or minus 0.005 meters. So, the area is length times width, and also we execute this calculation there is no thinking about the uncertainties because we"ll execute that in the following step. So, we have actually 3.955 meters time 3.05 meters offering us 12.06275 square meters. And we"re not sure what precision to round the to yet, yet we’ll calculate the uncertainty and then the suspicion will tell us what the precision should be in this calculation. The percent uncertainty in a... Answer of multiplying or splitting can be discovered by including the percent unpredictabilities in the factors. So, because we"re multiplying length by width here, us can find the percent certainty in area by including the percent uncertainty in the length to the percent skepticism in the width. And also we have actually L, W and A there to label each of this percent uncertainties. So, the percent skepticism in the length is the absolute apprehension in the size of .005 meters separated by the length of 3.955 meters and then times that by 100% and then, we have actually percent apprehension in the width is likewise .005 meters, yet then it"s split by 3.05 meters and also that gives .29%. And also then, the absolute apprehension in the area will be the percent certainty multiplied by the area, and that is .29 over a 100 since percent can constantly be composed as over 100 since if you know French, words cent is likewise the indigenous "cent" in French, which way the number 100. And so, percent can be assumed of as per "cent", which way per 100. So, the numbers over 100. So, we have actually .29 separated by a 100 multiply by 12.06275 and that gives .035 square meter which we have the right to round to only one far-ranging figure because uncertainties room not precise. And also so, we have actually .04 square meters and also this method our area calculation should be rounded to the hundreds place because that is the precision of our uncertainty. And also so, our last answer because that area is 12.06 to add or minus .04 square meters.

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