A square park with sides 15 meters in length has a diagonal walkway as shown. What is the approximate length of the diagonal walkway?

Question

asked Apr 21, 2021 39.1k views

1 Answer

Huibert Gill · Answer 1 · 2021-04-25T05:57:44+0000

Answer:

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