Question

mrs. kemps 5th grade class is taking a test. mitchell raises his hand, and mrs. kemp walks 9 meters down to mitchells desk to answer his question. then grace raises her hand, and mrs. kemp walks 3 meters to mitchells right to answer graces question. mrs. kemp then walks diagonally back to the front of the class where she was before. how far did mrs. kemp walk in total? if necessary, round to the nearest tenth. meters

Explanation:

Step1: Find the length of the diagonal path

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 9\) and \(b=3\).
$$c=\sqrt{9^{2}+3^{2}}=\sqrt{81 + 9}=\sqrt{90}\approx9.5$$

Step2: Calculate the total distance

Add up the three distances: \(9+3 + 9.5\).
$$9+3+9.5=21.5$$

Answer:

\(21.5\)