Question

Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters. What is the diagonal distance across the plaza? Round your answer to the nearest tenth.

Answer 1

70.7 meters

Explanation:

khan academy

Answer 2

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
`√(2)`. So we will find diagonal of our given square plaza by multiplying 50 by
`√(2)`.

`\text{Diagonal distance across the plaza}=50* √(2)`

`\text{Diagonal distance across the plaza}=50* 1.414213562373095`

`\text{Diagonal distance across the plaza}=70.71067811865475\approx 70.7`

Therefore, diagonal distance across the plaza is 70.7 meters.