Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Luis has a square pasture with a surface area of 1800 m² and is not fenced. In the center of the pasture there is a tree from which he ties his horse with a rope that reaches exactly to the corners of the pasture and allows the horse to surround the terrain.What is the maximum length of travel the horse can take when circling the tree?

Sagot :

Since it is a square pasture, we can conclude that each side is given by:

[tex]\begin{gathered} A=l^2 \\ where\colon \\ 1800=l^2 \\ l=\sqrt[]{1800} \\ l=30\sqrt[]{2} \end{gathered}[/tex]

the maximum length of travel the horse can take when circling the tree is basically the length of the rope, the length of the rope can be found using the pythagorean theorem, so:

[tex]\begin{gathered} d=\sqrt[]{(30\sqrt[]{2})^2+(30\sqrt[]{2})^2} \\ d=\sqrt[]{3600} \\ d=60m \end{gathered}[/tex]

the maximum length of travel the horse can take is 60m

View image DurandO68303
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.