Question

a mouse has made holes in opposite corners of a rectangular kitchen. starting from its hole in the northwest corner, the mouse scurries 3.3 meters along the length of the kitchen to reach a piece of cheese in the southwest corner. then the mouse scurries 5.1 meters along the width of the kitchen to its other hole in the southeast corner. finally the mouse scurries back to the first hole. what is the total distance the mouse scurries? if necessary, round to the nearest tenth. meters

Explanation:

Step1: Use the Pythagorean theorem

The distance between the two holes (the straight - line distance) can be found using the Pythagorean theorem \(d=\sqrt{3.3^{2}+5.1^{2}}\).

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Step2: Calculate the total distance

The total distance the mouse scurries is \(3.3 + 5.1+6.1\).

$$3.3 + 5.1+6.1=14.5$$

Answer:

\(14.5\)