Respuesta :
Answer:
70.7 meters.
Step-by-step explanation:
We have been given that Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.
Since we know that diagonal of a square is product of side length of square and [tex]\sqrt{2}[/tex]. So we will find diagonal of our given square plaza by multiplying 50 by [tex]\sqrt{2}[/tex].
[tex]\text{Diagonal distance across the plaza}=50\times \sqrt{2}[/tex]
[tex]\text{Diagonal distance across the plaza}=50\times 1.414213562373095[/tex]
[tex]\text{Diagonal distance across the plaza}=70.71067811865475\approx 70.7[/tex]
Therefore, diagonal distance across the plaza is 70.7 meters.