Answer :

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

[tex]Perimeter=UV+VW+WX+XY+YZ+ZU[/tex]

[tex]Perimeter=9+2+3+3+6+5[/tex]

[tex]Perimeter=28[/tex]

Therefore, the perimeter of UVWXYZ is 28 units.

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