Question

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

Round your final answer to the nearest hundredth.

Answer 1

Answer:

34.44 Units

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

$|DI|=\sqrt{(-6-0)^2+(0-7)^2}\\=\sqrt{(-6)^2+(-7)^2}\\|DI|=\sqrt{85}$

Similarly

$|OG|=\sqrt{(6-3)^2+(0-(-4))^2}\\=\sqrt{(3)^2+(4)^2}\\|OG|=\sqrt{25}=5$

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

Therefore: Perimeter of the polygon

$=2*\sqrt{85}+2*5+6=34.44 Units$

The perimeter of the polygon is approximately 34.44 Units.