Final answer:
To find the perimeter of a polygon with given coordinates, calculate the distance between each pair of consecutive points and add them up. The perimeter of the polygon with the given coordinates is 30 units.
Step-by-step explanation:
To find the perimeter of a polygon with given coordinates, we need to calculate the distance between each pair of consecutive points and add them up. Let's consider the given coordinates: (-3,4),(2,4),(5,0),(2,-4),(-3,-4),(-6,0).
The distance between two points (x1, y1) and (x2, y2) is given by the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Using this formula, we can calculate the distances and add them up to find the perimeter of the polygon.
Distance between (-3,4) and (2,4) = sqrt((2 - (-3))^2 + (4 - 4)^2) = 5 units
Distance between (2,4) and (5,0) = sqrt((5 - 2)^2 + (0 - 4)^2) = 5 units
Distance between (5,0) and (2,-4) = sqrt((2 - 5)^2 + (-4 - 0)^2) = 5 units
Distance between (2,-4) and (-3,-4) = sqrt((-3 - 2)^2 + (-4 - (-4))^2) = 5 units
Distance between (-3,-4) and (-6,0) = sqrt((-6 - (-3))^2 + (0 - (-4))^2) = 5 units
Distance between (-6,0) and (-3,4) = sqrt((-3 - (-6))^2 + (4 - 0)^2) = 5 units
Adding up the distances, we get: 5 + 5 + 5 + 5 + 5 + 5 = 30 units.
Therefore, the perimeter of the polygon with the given coordinates is 30 units.