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