Answer:
Explanation:
The figure with the given vertices K(-1, 1), L(3, 4), M(6, 0), N(2, -3) is a rectangle.
To find the perimeter of a rectangle, we can use the formula P = 2w + 2l, where w represents the width and l represents the length.
Using the given vertices, we can calculate the width and length of the rectangle:
Width:
K(-1, 1) to L(3, 4)
Width = √((3 - (-1))^2 + (4 - 1)^2) = √(4^2 + 3^2) = √(16 + 9) = √25 = 5
Length:
L(3, 4) to M(6, 0)
Length = √((6 - 3)^2 + (0 - 4)^2) = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5
Now, we can calculate the perimeter:
P = 2w + 2l = 2(5) + 2(5) = 10 + 10 = 20
Therefore, the perimeter of the rectangle is 20 units.
To find the area of a rectangle, we use the formula A = lw, where l represents the length and w represents the width.
Using the same width and length values as before, we can calculate the area:
A = lw = 5 * 5 = 25
Therefore, the area of the rectangle is 25 square units.