Chapter 10.3, Problem 32P

A large park is designed as two 10-km squares connected at the corner and with diagonals aligned. If Riley jogs along the diagonal from one end of the park to the other end, how many total kilometers will he jog? Give your answer as a simplified radical and to the nearest tenth of a kilometer.

To determine

To find: the distance travel in jog.

Answer to Problem 32P

The distance travel in jog is $20\sqrt{2}$ km.

Explanation of Solution

Given information:

The figure provided in the question,

  

Calculation: to find the distance travel in jog, use the Pythagoras theorem for both square and then add,

  $\begin{array}{l}d=\sqrt{{\left(10\right)}^2+{\left(10\right)}^2}+\sqrt{{\left(10\right)}^2+{\left(10\right)}^2}\text{ [use pythagoras theorem]}\\ d=10\sqrt{2}+10\sqrt{2}\text{ [simplify]}\\ d=20\sqrt{2}\text{ [add]}\end{array}$

Thus, The distance travel in jog is $20\sqrt{2}$ km.