Answer:
8 + 2 sqrt(26)
Step-by-step explanation:
The top and bottom have a distance of
-2 to 2 = 4 units
The sides need the length found by the pythagorean theorem
d = sqrt( a^2 + b^2) where a is the height and b is the width
a = (2-1) =1 and b = 4- -1 = 4+1 = 5
d = sqrt(1^2 + 5^2) = sqrt( 1+25) = sqrt(26)
We want the perimeter
P = 4+ sqrt(26) + 4 + sqrt(26)
Combine like terms
= 8 + 2 sqrt(26)
