Question

Given B(1,0), A(5,0) and E( 5, -7). Sketch a graph and find the perimeter of thePolygon. Round your final answer to the hundredths place.

Answer 1

Problem

Given B(1,0), A(5,0) and E( 5, -7). Sketch a graph and find the perimeter of the

Polygon. Round your final answer to the hundredths place.

Solution

We can calculate the distance between any two points with the following formula:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

The distance between A and B is:

`d_(AB)=\sqrt[]{(0-0)^2+(5-1)^2}=4_{}`

Between BE we have:

`d_(BE)=\sqrt[]{(-7-0)^2+(5-1)^2}=8.062`

And between A and E is:

`d_(AE)=\sqrt[]{(-7-0)^2+(5-5)^2}=7`

And then the perimeter would be given by the sum of the sides and we got:

P= 4+8.062+7=19.0623