Final answer:
To find the perimeter, calculate the lengths of all sides and add them up. To find the area, use the formula for the area of a polygon with the given coordinates. Remember to round your answers to the nearest tenth.
Step-by-step explanation:
To find the perimeter of a polygon, we add up the lengths of all the sides. Using the given coordinates, we can calculate the length of each side using the distance formula:
AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the sides are:
- WX = sqrt((-2 - (-2))^2 + (-8 - 0)^2)
- XY = sqrt((4 - (-2))^2 + (4 - 0)^2)
- YZ = sqrt((4 - 4)^2 + (-4 - 4)^2)
- ZW = sqrt((-2 - 4)^2 + (-8 - 4)^2)
Once we have the lengths of all sides, we can add them up to find the perimeter. To find the area, we use the formula for the area of a polygon:
Area = 1/2 * sum((x_i * y_{i+1}) - (x_{i+1} * y_i))
Where (x_i, y_i) is the coordinates of the ith vertex of the polygon. Using this formula with the given coordinates, we can find the area. Remember to round your answers to the nearest tenth.