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PLEASE HURRY

Identify the figure with the given vertices. Find the perimeter and area of the figure.
17. K(-1. 1). L(3, 4). M(6. O). N(2.-3)
-10-9-8-7
10
9
655527877
4
-2-10 1 2
-1
-107
8 9 10
Rectangle
W
Perimeter
P=1+w+t+w2E 2w
Area
A fw

PLEASE HURRY Identify the figure with the given vertices. Find the perimeter and area-example-1
User TUPKAP
by
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1 Answer

4 votes

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.

User Immad Hamid
by
7.6k points