Freddy the farmer has three fields. One field is an equilateral triangle, one field is a circle, and one field is a square. The square field is 75% larger in area than the triangular field, and 50% larger in area than the circular field. In order to completely fence all three of the fields, exactly 4000 metres of fencing is required.
What is the total area of all three fields, in square metres? Please round to the nearest whole number.
2006-08-10 08:45:57 · 15 answers · asked by Sakura X 2 in Science & Mathematics ➔ Mathematics
This isn't my school work!
2006-08-10 08:54:42 · update #1
First of all, I don't play neopets. I think it's imature. I found this in my math riddle book and I'm just hoping I got the right answer by checking it here. Before anyone asks, NO. There is no answers in the back of the book.
2006-08-10 13:11:13 · update #2
Yeah, this isn't your school work, but you could get neopoints for it at Neopets! This's cheating! It is exactly the same as Neopet's Lenny Conundrum for the week except you changed the name of the farmer.
2006-08-10 13:06:29 · answer #1 · answered by Linda O'Chuffy 2 · 1⤊ 0⤋
TAKEN DIRECTLY FROM NEOPETS LENNY CONUNDRUM:
Gilbert the Gelert farmer (He's a Gelert who happens to be a farmer, not a farmer who grows Gelerts!) has three fields. One field is an equilateral triangle, one field is a circle, and one field is a square. The square field is 75% larger in area than the triangular field, and 50% larger in area than the circular field. In order to completely fence all three of the fields, exactly 4000 metres of fencing is required.
What is the total area of all three fields, in square metres? Please round to the nearest whole number
Personally, I just think it's lame that you felt you had to lie and say that it's from a math textbook. Pretty ironic that it's the EXACT same question with a different farmers name!
Funny how the ONLY question you needed help with is one that could earn you neopoints. You know, if you didn't think it was so immature.
2006-08-10 19:32:15 · answer #2 · answered by Miss. Bliss 5 · 0⤊ 0⤋
a^2 = .75 (1/4 b^2*sqrt 3) area of the square=.75 area of triangle
a^2 = .5 *pi*r^2 area of the square = half the area of the circle
a^2 = .324 b^2
a^2 = 1.57* r^2
b = 1.75 a
r = 0.79 a
4a+3b+2pi*r=4000
4a+ 3*1.75*a + 2*pi *0.79 a = 4000
4a + 5.25 a + 4.96 a =4000
14.21 a = 4000
a= 281.49
b= 492.60
r= 222.37
Area of the square is = a^2 = 79236.62 meters square
Area of the triangle is= 1/4 b^2*sqrt (3)
Area of the triangle is= 0.43 *b^2
Area of the triangle is= 105072.58 meters square
Area of the circle is = pi*r
Area of the circle is = 155268.02 meters square.
If you only know what I had to do to solve your equation.
I hope I am right. I think I am.
2006-08-10 10:14:25 · answer #3 · answered by lonelyspirit 5 · 0⤊ 0⤋
The area of the Triangle is a quarter the area of the square.
The are of the circle is half the area of the square.
The fence is 4000 meters so the area must be 1000W x 1000L
.5x + x + .25x = 1,000,000
1.75 x = 1,000,000
x = 571428.57 area of square
In square meters
Square = 571428.57 = 571429
Circle = 285714.28 = 285714
Triangle = 142857.14 = 142857
571429 + 285714 + 142857 = 1,000,000 sq meters or 4 sides of 1,000 meters for a fence of 4,000 meters.
2006-08-10 09:11:16 · answer #4 · answered by Anonymous · 0⤊ 0⤋
You're the third person to ask this question today. Wow. Must be for some contest or something. Anyway, though, look around the other recent questions and answers in this category -- you'll find it. Good luck! :-)
[ Oh, and by the way, I'm getting 334,887 m² as an answer. :-) ]
2006-08-10 08:55:02 · answer #5 · answered by Jay H 5 · 0⤊ 0⤋
Correct to the nearest whole number in square meters:
Area of Triangle = 79,454
Area of Circle = 158,909
Area of Square = 105,939
As a check, add the perimeters: (Nearest whole number in meters)
1,285 + 1,413 + 1,302 = 4,000
2006-08-11 00:32:03 · answer #6 · answered by Jerry M 3 · 0⤊ 1⤋
I'm sorry, but I'm not going to do your homework for you. You won't learn a thing if you don't do it yourself, which may be fine for now, but when the time comes to be tested on it, you'll wish you did your homework.
Never had Yahoo Answers when I was in school...
2006-08-10 08:51:20 · answer #7 · answered by Sappho 4 · 1⤊ 0⤋
sq.: floor section = s^2 the position s is the dimensions of a aspect Triangle: floor section = a million/2 * base * top Circle: floor section = Pi r^2 the position r is the radius of the circle and Pi is about 3.14159 desire this facilitates.
2016-11-23 19:46:02 · answer #8 · answered by valle 4 · 0⤊ 0⤋
Check out my answer in the other version of the question you posted.. Good luck!
2006-08-10 14:27:55 · answer #9 · answered by Anonymous · 0⤊ 0⤋
175 sm
2006-08-10 08:50:22 · answer #10 · answered by Anonymous · 0⤊ 0⤋