Respuesta :

Answer:

B

Step-by-step explanation:

every length of a connection between 2 points is the Hypotenuse of right-angled triangle created by the x- and y-coordinate differences of the points.

and Pythagoras is the best way to cancer the length of such a Hypotenuse.

AD² = 2² + 2² = 8

AD = sqrt(8)

AB = AD

BC² = 4² + 2² = 16 + 4 = 20

BC = sqrt(20)

CD = BC

so, the perimeter is

AD + AB + BC + CD = 2×sqrt(8) + 2×sqrt(20) =

= 14.60112616... units ≈ 14.6 units