Question

A rectangular pool is 9 meters wide and 11 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.

Answer 1

Check the picture below.

`\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=√(a^2 + b^2) \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=√(9^2 + 11^2)\implies c=√(202)\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}`