akeelahcarter8 akeelahcarter8
  • 11-02-2020
  • Mathematics
contestada

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



What is the approximate length of the diagonal walkway?

Respuesta :

calculista
calculista calculista
  • 17-02-2020

Answer:

The approximate length of the diagonal walkway is 21.21 meters

Step-by-step explanation:

we know that

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

so

[tex]c^2=a^2+b^2[/tex]

where

c is the diagonal of the square

a and b are the length sides of the square

we have

[tex]a=15\ m\\b=15\ m[/tex]

substitute

[tex]c^2=15^2+15^2\\c^2=450\\c=21.21\ m[/tex]

therefore

The approximate length of the diagonal walkway is 21.21 meters

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