Question

a rectangular pool is 6 meters wide and 14 meters long. if you swim diagonally from one corner to the other, how many meters will you swim? approximate the answer to the nearest tenth. 2.8 meters 15.2 meters 4.3 meters 12.6 meters

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 6\), \(b=14\), and \(c\) is the diagonal.
Substitute values: \(6^{2}+14^{2}=c^{2}\)
\(36 + 196=c^{2}\)
\(232=c^{2}\)

Step2: Solve for \(c\)

\(c=\sqrt{232}\)
\(c\approx15.2\) (rounded to the nearest tenth)

Answer:

15.2 meters