10.) a farmer has 240 meters of fence. the farmer want to build a fence to enclose the greatest possible rectangluar land area.
a.) write an equation for the fenced area A in terms of the length L of teh rectangluar plot.
b.) what are the dementions of the rectangle with the greatest are?
can you show me how to figure these problems out
THANKS!
2007-09-30 16:55:28 · 7 answers · asked by Max H 2 in Education & Reference ➔ Homework Help
correction on part B the last word isnt are its area
and thats all the info they gave me.
2007-09-30 17:03:45 · update #1
the rectangle with the greatest are would be a square, with 60 meter sides
2007-09-30 17:03:01 · answer #1 · answered by Carlitos D 1 · 0⤊ 0⤋
a) 2L + 2W = 240 meters
L = 120meters - W
b) a square (which is also defined as a rectangle) would yield the maximum area. Therefore 240m/4=60. The area of your fence would be 3600 sq meters.
I'm not sure which level math class this is, but I'm not 100% sure how to find the maximum using trigonometry. You might be able to plot the area curve and the slope of the lenght (I'm not totally sure about this) and then find the maximum where they intersect.
2007-10-01 00:05:57 · answer #2 · answered by IMHO 3 · 0⤊ 0⤋
The 240 meters of fence is definitely the PERIMETER of the fence.
a )Lets make l = length, w = width.
A = lw
To make it in terms of L, we would do L = A/w
b.) I'm afraid I cannot help you on this. Not enough information. Sorry
2007-10-01 00:01:44 · answer #3 · answered by Crysis 7 · 0⤊ 0⤋
a.) area=(L/4)^2 L in terms of total length i.e. 240
b) 60 by 60 by 60 by 60
the total length has to add up to 240
and area of a rectangle is L^2 and
it has to have 4 equal sides
2007-10-01 00:06:39 · answer #4 · answered by S.P. 3 · 0⤊ 1⤋
first: find all of the factors of 240
1 240
2 120
3 80
4 60
5 48
6 40
8 30
10 24
to find the area of a certain space, you multiply LxW so, in this case, all of these factors could be the fenced area. just choose one.
2007-10-01 00:00:33 · answer #5 · answered by Nmenna (men-uh) gosh darnit..... 3 · 0⤊ 1⤋
2L + 2W = 240
so L + W = 120
W = 120 - L
A = L x W = L.(120 - L)
A is greatest when L = W = 60
2007-10-01 00:11:10 · answer #6 · answered by Beardo 7 · 0⤊ 0⤋
maths for fools!!
2007-09-30 23:57:19 · answer #7 · answered by Anonymous · 0⤊ 1⤋