Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 2 feet more than 3 times the width. He needs 36 feet of fencing to do the job. Find the length and width of the garden.
a. length: 11 feet; width: 3 feet
b. length: 17 feet; width: 5 feet
c. length: 14 feet; width: 4 feet
d. length: 1 / 2 and 27 feet; width: 1 / 2 and 8 feet
2007-12-04 00:17:32 · 2 answers · asked by . 1 in Science & Mathematics ➔ Mathematics
Let
w = width
3w + 2 = Length
36 = perimeter
- - - - - - -
Perimeter formula
P = 2L + 2W
36 = 2(3w + 2) + 2w
36 = 6w + 4 + 2w
Collect liike terms
36 = 8w + 4
Transpose 4
36 - 4 = 8w + 4 - 4
Collect like terms
32 = 8w
Divide both sides of the equation by 8
32 / 8 = 8w / 8
32/8 = w
4 = w. . .←. .The width
- - - - - - - -
The width is 4 feet
- - - - - - --
The length = 3w + 2
3(4) + 2 =
12 + 2 =
14
The length is 14 Feet
- - - - - - - s-
2007-12-04 01:20:43 · answer #1 · answered by SAMUEL D 7 · 2⤊ 0⤋
Let w = width of garden
3w+2 = length of garden
w + 3w + 2 = 18
4w = 16
w = 4
length = 14
ans. c. length 14ft, width 4 ft.
that's it! :)
2007-12-04 00:22:38 · answer #2 · answered by Marley K 7 · 0⤊ 0⤋