On a coordinate plane, rectangle W X Y Z is shown. Point W is at (negative 6, 6), point X is at (negative 4, 0), point Y is at (negative 7, negative 1), and point Z is at (negative 9, 5).
In the diagram, ZY = WX = 2 StartRoot 10 EndRoot. What is the perimeter of rectangle WXYZ?

StartRoot 10 EndRoot units
2 StartRoot 10 EndRoot units
6 StartRoot 10 EndRoot units
8 StartRoot 10 EndRoot units

6 StartRoot 10 EndRoot units

Step-by-step explanation:

step 1

Plot the coordinates of rectangle WXYZ to better understand the problem

we have

W(-6,6),X(-4,0),Y(-7,-1),Z(-9,5)

using a graphing tool

see the attached figure

step 2

Find out the perimeter

The perimeter of rectangle is equal to

we have

the formula to calculate the distance between two points is equal to

Find the distance WX

we have

W(-6,6),X(-4,0)

substitute in the formula

Find the distance XY

we have

X(-4,0),Y(-7,-1)

substitute in the formula

step 3

Find the perimeter

we have

substitute

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

idk

step-by-step explanation: