Question

20 PTS! Please Help!!!! Will Give Brainliest!! This is a Khan Academy Problem!!!

Answer 1

Using it's concept, the approximate perimeter of pentagon ABCDE is given as follows:

34.4 units.

What is the perimeter of a figure?

The perimeter of a figure is given by the sum of the lengths of it's outside dimensions.

In this problem, the vertices are in a coordinate-plane, hence the distances are found using the formula for the distance between two points.

What is the distance between two points?

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$. The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of segment AB is:

$AB = \sqrt{(6 - 0)^2+(0 - 7)^2} = 9.2$

The length of segment BC is:

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

The length of segment CD is:

$CD = \sqrt{(-3 -3)^2+(-4 + 4)^2} = 6$

The length of segment DE is:

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

The length of segment EA is:

$EA = \sqrt{(-6 +0)^2+(0 - 7)^2} = 9.2$

Hence the perimeter is:

P = AB + BC + CD + DE + EA = 9.2 + 5 + 6 + 5 + 9.2 = 34.4 units.

More can be learned about the perimeter of a figure at brainly.com/question/18610622

#SPJ1