Question

the floor of a storage unit is 4.7 feet long and 5.2 feet wide. starting at the far left corner, hanson walks down the length, across the width, and then diagonally back to the far left corner. how far does hanson walk? if necessary, round to the nearest tenth. feet

Explanation:

Step1: Calculate the sum of length and width

The length is \(4.7\) feet and the width is \(5.2\) feet. The sum of walking down the length and across the width is \(4.7 + 5.2\).

$$4.7+5.2 = 9.9$$

Step2: Calculate the length of the diagonal

Use the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\), where \(a = 4.7\) and \(b = 5.2\).

$$c=\sqrt{4.7^{2}+5.2^{2}}=\sqrt{22.09 + 27.04}=\sqrt{49.13}\approx7.0$$

Step3: Calculate the total distance

The total distance is the sum of the sum of length and width and the length of the diagonal.

$$9.9+7.0 = 16.9$$

Answer:

\(16.9\)