Question

use the pythagorean theorem and the square root property to solve the following problem. express your answer in simplified radical form. then find a decimal approximation to the nearest tenth. a rectangular park is 6 miles long and 2 miles wide. how long is a pedestrian route that runs diagonally across the park? in simplified radical form, the pedestrian route is 2\sqrt{10} miles long. rounded to the nearest tenth, the pedestrian route is miles long.

Explanation:

Step1: Recall square - root value

We know that $\sqrt{10}\approx3.162$.

Step2: Calculate the value of $2\sqrt{10}$

$2\times3.162 = 6.324$.

Step3: Round to the nearest tenth

Rounding $6.324$ to the nearest tenth gives $6.3$.

Answer:

$6.3$