The length of a rectangular field is 6 yards less than triple the width. If the perimeter of the field is 340 yards, what are its dimensions? show your work
2007-02-05 13:44:00 · 9 answers · asked by Jay 1 in Science & Mathematics ➔ Mathematics
OK, let's see,
Perimeter = 2L + 2W = 340
L = 3W-6
So,
340 = 2(L+W) = 2(3W-6 + W) = 2(4W-6)
170 = 4W -6
4W = 176
W=44
L = 3(44) - 6 = 132 - 6 = 126
P= 2(126+44) = 2(170) = 340
Good Luck!
2007-02-05 13:50:16 · answer #1 · answered by alrivera_1 4 · 0⤊ 0⤋
ok. so let the WIDTH of the field be w.
we know that the length is 6 LESS than TRIPLE the width
so,
3w - 6= Length
now, to find the perimeter of a rectangle:
perimeter = 2 (l + w)
since we have l in terms of w, plug in our equation for l. so we have:
perimeter = 2 (3w - 6 + w)
we know perimeter = 340 yards
340 = 2 ( 4w - 6)
340 = 8w - 12
352 = 8w
w = 44
now, plug w into our equation for l
l = 3(w) - 6
l = 3(44) - 6
l = 126
2007-02-05 21:50:27 · answer #2 · answered by Ace 4 · 0⤊ 0⤋
L = 3W - 6
2L + 2W = 340
2(3W - 6) + 2W = 340
6W - 12 + 2W = 340
8W - 12 = 340
8W = 340 + 12
8W = 352
W = 352/8 = 44
L = 3W - 6 = 3(44) - 6 = 132 - 6 = 126
L = 126, W = 44
2007-02-05 21:50:49 · answer #3 · answered by snpr1995 3 · 0⤊ 0⤋
a rectangle's perimeter is 2w+2L=340
so since L = 3w-6, we can write
2w+(6w-12) = 340
8w = 352
w = 44
L = 126
2007-02-05 21:50:55 · answer #4 · answered by Anonymous · 0⤊ 0⤋
P=2W + 2L
So......
let w= width
let l = 3w-6
Plug these into the above formula and solve for W. That will give you the width. Plug this number into it and find L.
2007-02-05 21:53:26 · answer #5 · answered by Anonymous · 0⤊ 0⤋
let L-length
let W=idth
let P=perimeter
Forumla for perimeter 2L +2W
L=3W-6.......2L+2W=340
L=3(44)-6....2(3W-6)+2W=340
L=132-6.......6W-12+2W=340
L=126...............+12 +12
.....................6W+2W=352
.....................8W=352
.....................W=44
L=126
W=44
P=340
2007-02-05 21:57:03 · answer #6 · answered by cmb 2 · 0⤊ 0⤋
Problem;
2(3W-6) + 2W = 340
Solution;
6L-12+2L=340
8L=352
L=44 yards, ......... answer
Therefore, as W=3L-6
Then;
W=3(44)-6
W=132 yards........ answer
10 points please.
2007-02-05 22:03:06 · answer #7 · answered by wacky_racer 5 · 0⤊ 0⤋
huh
2007-02-05 21:51:33 · answer #8 · answered by Pher 1 · 0⤊ 0⤋
do your own homework
2007-02-05 21:48:52 · answer #9 · answered by samina 3 · 0⤊ 0⤋