Question

Find the perimeter of the polygon with the vertices UC - 2, 4), V(3, 4), and W(3– 4). Round your answer to the nearest hundredth. The perimeter is about units.

Answer 1

Given the polygon of the vertices :

`\begin{gathered} U=(-2,4) \\ V=(3,4) \\ W=(3,-4) \end{gathered}`

The graph of the points and the polygon is as shown in the following graph :

Using the graph to find the distance between the points :

So, UV = 5

And VW = 8

The distance between the points U and W will be calculated using Pythagorean :

`UW=\sqrt[]{5^2+8^2}=\sqrt[]{25+64}=\sqrt[]{89}\approx9.43`

So, the perimeter of the polygon =

`UV+VW+UW=5+8+9.43=22.43`

So, the answer is : 22.43 ( to the nearest hundredth )

So, The perimeter is about 22.43 units.​