use the eqn below to find the mid-pts
x-mid-pt = (x₁+x₂)/2
y-mid-pt = (y₁+y₂)/2
J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1)
So
midpoint JK = (-1+1/2, 1+3/2) = (0,2)
midpoint KL = (1+5/2, 3+⁻1/2) = (3,1)
midpoint LM = (5+⁻3/2, ⁻1+⁻1/2) = (1,-1)
midpoint MJ = (⁻3+⁻1/2, -1+1/2) = (-2,0)
use the eqn to find distance:
d = √(x₂ - x₁)² + (y₂ - y₁)²
Distance between JK and LM = √(0⁻1)² + (2 - ⁻1)² = √1 + 9 = √10
Distance between JM and KL = √(3-⁻2)² + (1-0)² = √25 + 1 = √26
Scale is 10
Actual distance = 10*(√10 + √26) = 82.6 = 83 units