Question

ians bedroom is 4.7 meters long and 2.9 meters wide. starting at the far left corner, ian walks down the length, across the width, and then diagonally back to the far left corner. how far does ian walk? if necessary, round to the nearest tenth. meters

Explanation:

Step1: Calculate the sum of length and width

Ian walks down the length (\(4.7\) meters) and across the width (\(2.9\) meters). The sum of these two distances is \(4.7 + 2.9=7.6\) meters.

Step2: Calculate the length of the diagonal

Use the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\) (where \(a = 4.7\) and \(b=2.9\)).

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Step3: Calculate the total distance

Add the sum of length and width and the length of the diagonal. The total distance \(d=7.6+5.5 = 13.1\) meters.

Answer:

\(13.1\)