SOLUTION: Suppose you have 100 ft. of fencing to build a kennel. What is the largest square kennel you can build? What is the largest circular kennel you can build? Which of the two option

Algebra ->  Rectangles -> SOLUTION: Suppose you have 100 ft. of fencing to build a kennel. What is the largest square kennel you can build? What is the largest circular kennel you can build? Which of the two option      Log On


   



Question 673277: Suppose you have 100 ft. of fencing to build a kennel. What is the largest square kennel you can build? What is the largest circular kennel you can build? Which of the two options will give you the greatest area for the cost of the fencing?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose you have 100 ft. of fencing to build a kennel.
What is the largest square kennel you can build?
Each side of the square: 100/4 = 25ft
Area = 25^2 = 625 sq/ft
:
What is the largest circular kennel you can build?
This kennel will have a circumference of 100 ft, find the radius:
2%2Api%2Ar = 100
r = 100%2F%282pi%29
r = 15.9155 ft
find the area
A = pi%2A15.9155%5E2
A = 795.8 sq/ft