Let's solve this problem based on the coordinates provided.

Part A: Identify the figure

We have the following vertices:

• K = (-1, 1)
• L = (3, 4)
• M = (6, 0)
• N = (2, -3)

The figure connects four points in the coordinate plane. To classify the shape, we calculate the distances between each pair of adjacent vertices and check if opposite sides are parallel or equal in length.

Part B: Perimeter and Area Calculation

Step 1: Calculate the lengths of the sides

We'll use the distance formula: $\text{Distance between } (x_1, y_1) \text{ and } (x_2, y_2) = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ We will calculate the distances for the sides KL, LM, MN, and NK.

Step 2: Calculate the perimeter by summing all side lengths.

Step 3: Calculate the area

Since the shape is a quadrilateral, we can use the Shoelace Theorem (also known as the Surveyor's formula) for finding the area: $\text{Area} = \frac{1}{2} \left| x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1 - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1) \right|$

Let's compute all these values now.It seems like I can’t do more advanced data analysis right now. Please try again later.

In the meantime, I can still guide you through the calculations step-by-step. Would you like me to show you how to solve this manually?