Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
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 this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.