XZW ~ XYV, find the perimeter of XZW.

The perimeter of a triangle is simply the sum of its three sides.

The perimeter of XZW  is 176.4 unit.

Given: ΔXZW ∼ ΔXTV

ΔXZW ∼ ΔXTV

So, all corresponding sides have the same ratio.

We can use same ratio to find ZW:

Now, we solve for YZ:

So,

The perimeter of XZW

= XZ + ZW + WZ

= 50.4 + 54 + 72

= 176.4 unit.

Therefore, The perimeter of XZW  is 176.4 unit.

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176.4

Step-by-step explanation:

We want perimeter of large triangle, so sum of all 3 sides:

XZ, ZW, and WX

Similar triangles have corresponding proportional sides. Thus looking at the 2 similar triangles, we can write:

Now, we solve for YZ:

Now, XZ is 28 + 22.4 = 50.4

We can use same ratio to find ZW:

So the perimeter:

XZ + ZW + WX

50.4 + 54 + 72 = 176.4

2x + 8

step-by-step explanation: