A cattle rancher has 300' of fence to make a corral. One side butts up against a canyon wall, so he doesn't need fence along the wall. He also has only 4 posts to attach fence cable to. What is maximum area (to nearest square foot) he can achieve for his corral?
2006-08-04 16:50:14 · 11 answers · asked by Jacob B 2 in Entertainment & Music ➔ Jokes & Riddles
No this is not a homework question, I just like to test the brains of the people on here. Oh and by the way everyone so far has been WAY off.
2006-08-04 16:58:05 · update #1
Assuming he makes a semi-circular corral, then the circumference of the full circle would have been twice the length of the fence.
2 * Pi * r = 600;
r = 300 / Pi
r = 95.5 (approx)
therfore the area enclosed = (pi * r^2) /2
= 14331.21 Sq Ft.
2006-08-05 03:18:30 · answer #1 · answered by JustAskMe 4 · 1⤊ 0⤋
This isn't a homework question is it. Let's see 300' of fence to be used on 3 of 4 sides so 100'/side is 100*100=10,000 sq ft?
The shape would be a trapezoid not a square...huh, I think I'm too tired to figure it out tonight.
I'll give it one more try:
base 200 top 100 so {(200+100)*86.6}/2=12990 sq feet or something like that anyway. Good night.
2006-08-04 23:56:31 · answer #2 · answered by pebble 6 · 0⤊ 0⤋
if he is not going to put a fence along the big drop off of the canyon....it's not a corral the cows are going to be suicidal beef
2006-08-04 23:54:48 · answer #3 · answered by hambone1985 3 · 0⤊ 0⤋
400 sq ft
2006-08-04 23:54:35 · answer #4 · answered by Poncho Rio 4 · 0⤊ 0⤋
10000 sq. ft
2006-08-05 00:14:25 · answer #5 · answered by mvp 3 · 0⤊ 0⤋
isn't a corral circle shaped?
2006-08-05 00:25:28 · answer #6 · answered by christina 2 · 0⤊ 0⤋
probably a perfect hexagon, 60' to each side
or maybe a half circle... which would be roughly 14250
2006-08-04 23:54:53 · answer #7 · answered by iamigloo 6 · 0⤊ 0⤋
5200 sq ft
2006-08-05 03:53:50 · answer #8 · answered by Anonymous · 0⤊ 0⤋
10000sq feet
2006-08-04 23:54:59 · answer #9 · answered by theuntouchablejdub 3 · 0⤊ 0⤋
60,000 sq. ft
2006-08-05 00:38:46 · answer #10 · answered by Anonymous · 0⤊ 0⤋