Explanation:
To find the perimeter of the polygon with vertices at (-2, 1), (-2, 4), (2, 7), (6, 4), and (6, 3), you'll need to calculate the sum of the distances between these points.
Calculate the distance between (-2, 1) and (-2, 4): Distance = |4 - 1| = 3 units
Calculate the distance between (-2, 4) and (2, 7): Distance = √((2 - (-2))^2 + (7 - 4)^2) = √(4^2 + 3^2) = √(16 + 9) = √25 = 5 units
Calculate the distance between (2, 7) and (6, 4): Distance = √((6 - 2)^2 + (4 - 7)^2) = √(4^2 + (-3)^2) = √(16 + 9) = √25 = 5 units
Calculate the distance between (6, 4) and (6, 3): Distance = |3 - 4| = 1 unit
Now, add up all these distances to find the perimeter:
Perimeter = 3 units + 5 units + 5 units + 1 unit = 14 units
So, the perimeter of the polygon is 14 units.