Answer:
C
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 =
![√((5-0)^2+(0-5)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rgqr1196sb2i2f72iu7ewux3iq7wb06p5w.png)
=
![√(5^2+(-5)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v735jqce3azdpe4e4lshtr7vj4r7eg1onw.png)
=
=
![√(50)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n4v4w0o7g24abgoq6wl6q6pivs4iupbjgo.png)
Hence
Perimeter = 4EF = 4 ×
≈ 28.3 → C