Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Looking at the polygon above, we have divided it into different right-angle triangle segments to be able to get the length of AD, AB,BC, CD
The addition of all these lengths will give us the perimeter of the polygon ABCD.
We will find the length of these sides using Pythagoras theorem?
Length AD is:
[tex]\begin{gathered} AD=\sqrt[]{12^2+5^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ =13\text{units} \end{gathered}[/tex]The length of AB is:
[tex]\begin{gathered} AB=\sqrt[]{3^2+4^2} \\ =\sqrt[]{9+16} \\ =\sqrt[]{25} \\ =5\text{units} \end{gathered}[/tex]The length of BC is:
[tex]\begin{gathered} BC=\sqrt[]{4^2+3^2} \\ =\sqrt[]{16+9} \\ =\sqrt[]{25} \\ =5\text{ units} \end{gathered}[/tex]The length of CD is:
[tex]\begin{gathered} CD=\sqrt[]{5^2+12^2} \\ =\sqrt[]{25+144} \\ =\sqrt[]{169} \\ =13\text{ units} \end{gathered}[/tex]The perimeter of the polygon will be calculated thus:

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.