Answer:
C
Step-by-step explanation:
Since the figure is a square with all 4 sides equal, then calculate the length of EF and multiply by 4 for the perimeter.
Calculate EF using the distance formula
EF = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = E(0, 5) and (x₂, y₂ ) = F(5, 0)
EF = [tex]\sqrt{(5-0)^2+(0-5)^2}[/tex]
= [tex]\sqrt{5^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex] = [tex]\sqrt{50}[/tex]
Hence
Perimeter = 4EF = 4 × [tex]\sqrt{50}[/tex] ≈ 28.3 → C
