Question

Find the approximate perimeter of polygon DINGODINGOD, I, N, G, O plotted below.

Round your final answer to the nearest hundredth.

Answer 1

34.44 Units

Step-by-step explanation:

In the polygon, the positions of the polygon's vertices are:

D(0,7),I(-6,0),N(-3,-4),G(3,-4),O(6,0)

Now

Length of DI=Length of DO

Length of IN=Length of OG.

Using the distance formula

`|DI|=√((-6-0)^2+(0-7)^2)\\=√((-6)^2+(-7)^2)\\|DI|=√(85)`

Similarly

`|OG|=√((6-3)^2+(0-(-4))^2)\\=√((3)^2+(4)^2)\\|OG|=√(25)=5`

|NG|=|-3|+|3|=6 Units

Therefore: Perimeter of the polygon

`=2*√(85)+2*5+6=34.44 Units`

The perimeter of the polygon is approximately 34.44 Units.