Question

A square park with sides 15 meters in length has a diagonal walkway as shown.

What is the approximate length of the diagonal walkway?

Answer 1

The approximate length of the diagonal walkway is 21.21 meters

Explanation:

we know that

Applying the Pythagorean Theorem in the square park, find out the the approximate length of the diagonal walkway

so

`c^2=a^2+b^2`

where

c is the diagonal of the square

a and b are the length sides of the square

we have

`a=15\ m\\b=15\ m`

substitute

`c^2=15^2+15^2\\c^2=450\\c=21.21\ m`

therefore

The approximate length of the diagonal walkway is 21.21 meters