a farmer has 680 feet of fencing to enclose the pasture. because a river runs along one side fencing will be only be needed on three sides, what are the dimensions of the pasture if its lengths is double its width?
2007-02-07 04:18:58 · 9 answers · asked by baumertmelanie 1 in Science & Mathematics ➔ Mathematics
3 sides, L, W, W
L+W+W = 680
L= 2W
2W+W+W = 680
4W = 680
W = 680/4
W = 170
L = 170*2 = 340
2007-02-07 04:23:58 · answer #1 · answered by Grant d 4 · 0⤊ 0⤋
Let a be the width. Then the length is 2a
For two widths and one length.
2*a + 2a =680. So 4a = 680, therfore a = 170. The pasture has a width of 170, and a length of 340.
For two lengths and one width,
a + 2*2a = 680. So 5a = 680, therefore a = 136. The width is 136, and the length is 272.
Depends what side the river runs on...
2007-02-07 12:28:25 · answer #2 · answered by abdotzed 3 · 0⤊ 0⤋
680 ÷ 2 = 340 = Length
340 ÷ 2 = 170 ft (width, each end)
= 3 sides of the pasture 340ft by 170ft
2007-02-07 12:27:46 · answer #3 · answered by Norrie 7 · 0⤊ 0⤋
So, the fence has three sides.
The pasture is twice as long as it is wide.
So, width is X, Length is 2X.
Fence length is X + 2X + X = 4X
680/4X = 170 feet
the pasture is 170 x 340
2007-02-07 12:23:24 · answer #4 · answered by les 4 · 0⤊ 0⤋
I get L&W are 340' and 170' when the river is along a length, and L&W are 272' and 136' when the river is along a width. Sorry - the question is ambiguous!!
2007-02-07 12:35:05 · answer #5 · answered by Jim C 1 · 0⤊ 0⤋
Length = 2x
Width = x
2x + 2x + x + x = 6x (because pasture has 4 sides, cannot take a side away, thats impossible)
5x, if width on river side
4x, if length on river side
IF WIDTH ON RIVER SIDE:
5x = 680
x = 136
length (of one side) = 272 feet
width (of one side) = 136 feet
IF LENGHT ON RIVER SIDE:
4x = 680
x = 145
length (of one side) = 290 feet
width (of one side) = 145 feet
2007-02-07 12:33:25 · answer #6 · answered by F.V 2 · 0⤊ 0⤋
the width of the two sides is 170 the length of the long side is 340.
2007-02-07 12:24:03 · answer #7 · answered by call_me_LaLa 6 · 0⤊ 0⤋
Let width be x
So, x+x+2x = 680
or 4x = 680
or x = 170 feet
2007-02-07 12:26:19 · answer #8 · answered by ag_iitkgp 7 · 0⤊ 0⤋
Yo didn't specify if the river runs allong the lenght or width whivh is a problem, im assuming length
680=2W+L
2W=L
thus
680=L+L=2L
L=340
W=170
2007-02-07 12:23:16 · answer #9 · answered by Anonymous · 0⤊ 0⤋