SOLUTION: 7. A rancher wants to build a rectangular enclosure for his new heard of thestrals. He wants to maximize the total area for his new heard, and has 5280ft of fencing in which to bui

Algebra ->  Rational-functions -> SOLUTION: 7. A rancher wants to build a rectangular enclosure for his new heard of thestrals. He wants to maximize the total area for his new heard, and has 5280ft of fencing in which to bui      Log On


   

Question 815775: 7. A rancher wants to build a rectangular enclosure for his new heard of thestrals. He wants to maximize the total area for his new heard, and has 5280ft of fencing in which to build the enclosure.What is the maximum area the rancher could enclose with his fencing? Round to the nearest foot.
Bonus: How many acre's is that? (round to the nearest acre)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Re reply, Maximum Area is 1,742,400 ft^2  0r 40 acres

5280ft of fencing 

A Square yields maximum Area.  5280ft%2F4 = 1320ft a side

A = s^2 = %281320ft%29%5E2 = 1,742,400 ft^2

maximum Area =  1,742,400 ft^2

Note: 43,560 ft^2 = 1 Acre

maximum Area(in Acres)  = 1742400%2F43560 = 40 Acre