Answer:
C 13.3 units
Step-by-step explanation:
The Pythagorean theorem is used to find the distance between two points. On a graph like this, you can count the number of squares between points horizontally and vertically, so can fill in the calculation for the hypotenuse directly from the graph.
... hypotenuse length = √((horizontal distance)² +(vertical distance)²)
... JK = √(2²+2²) = √8 ≈ 2.83
... KL = √(2²+5²) = √29 ≈ 5.39
... LM = √(2²+2²) = √8 = 2.83
... MJ = √(2²+1²) = √5 ≈ 2.23
The perimeter is the sum of these distances around the figure:
... perimeter = JK +KL +LM +MJ
... perimeter = 2.83 +5.39 +2.83 +2.23 = 13.3