Use the image to answer the question.
A coordinate plane shows the x-axis ranging from negative 9 to 9 in unit increments and the y-axis ranging from negative 11 to 11 in unit increments. Six plotted points are joined to form a composite figure. The six plotted points are upper A, upper B, upper C, upper D, upper E, and upper F. The coordinates of the plotted points are as follows: point upper A is left parenthesis 2 comma negative 6 right parenthesis, point upper B is left parenthesis negative 5 comma negative 6 right parenthesis, point upper C is left parenthesis negative 5 comma 6 right parenthesis, point upper D is left parenthesis 6 comma 6 right parenthesis, point upper E is left parenthesis 6 comma 1 right parenthesis, and point upper F is left parenthesis 2 comma 1 right parenthesis.
Find the perimeter of the polygon in kilometers.
(1 point)
Responses
46 kilometers
46 kilometers
46 square kilometers
46 square kilometers
104 square kilometers
104 square kilometers
34 square kilometers
1 answer
The distances between the points are:
AB = 7 units
BC = 12 units
CD = 5 units
DE = 5 units
EF = 4 units
FA = 8 units
Adding these distances together:
Perimeter = AB + BC + CD + DE + EF + FA
Perimeter = 7 + 12 + 5 + 5 + 4 + 8
Perimeter = 41 units
Since each unit represents 1 kilometer, the perimeter of the polygon is 41 kilometers.