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ZanzabumX [31]
2 years ago
12

In the diagram, WZ=StartRoot 26 EndRoot.

Mathematics
1 answer:
gogolik [260]2 years ago
8 0

Answer:

P = 8 + 2\sqrt{26}

Step-by-step explanation:

Given

W = (-2, 4)

X = (2, 4)

Y = (1, -1)

Z = (-3,-1)

Required

The perimeter

First, calculate the distance between each point using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2

So, we have:

WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4

XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}

YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4

ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}

So, the perimeter (P) is:

P = 4 + \sqrt{26} + 4 + \sqrt{26}

P = 8 + 2\sqrt{26}

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