2 Answers

GMK · Answer 1 · 2022-07-15T17:57:53+0000

Answer:

P = 4√(13)

Explanation:

Given

W = (7, 2)

X = (5, -1)

Y = (3, 2)

Z =(5, 5)

Required

The perimeter

To do this, we first calculate the side lengths using distance formula

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

So, we have:

$WX = \sqrt{(5- 7)^2 + (-1 - 2)^2$

WX = √(13)

XY = √((3-5)^2 + (2--1)^2)

XY = √(13)

YZ = √((5-3)^2 + (5-2)^2)

YZ = √(13)

ZW = √((7 - 5)^2 + (2 - 5)^2)

ZW = √(13)

The perimeter is:

P = WX + XY + YZ + ZW

P = √(13)+√(13)+√(13)+√(13)

P = 4√(13)

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