Answer:
B
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