SOLUTION: a farmer has 120m hogwire to build a rectangular pigpen, one length of which would be along a permanent wall. The pigpen would be fenced along the three sides only. If the length i

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Question 896654: a farmer has 120m hogwire to build a rectangular pigpen, one length of which would be along a permanent wall. The pigpen would be fenced along the three sides only. If the length is to be three times the width, what are the dimensions of the pigpen?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
More than one answer.
Three sides.
L for length
w for width
L=3w.

w%2B2L=120
w%2B2%2A3w=120
7w=120
highlight%28w=17.1%29 meters and highlight%28L=51.4%29 meters.

Alternative:
2w%2BL=120
2w%2B3w=120
5w=120
w=120%2F5
highlight%28w=24%29 and from that, highlight%28L=72%29 meters.


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Fixed Earlier Mistake

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

a farmer has 120m hogwire to build a rectangular pigpen, one length of which would be along a permanent wall. The pigpen would be fenced along the three sides only. If the length is to be three times the width, what are the dimensions of the pigpen?

Let width be W
Then length = 3W
If width is parallel to permanent wall, then: W + 2(3W) = 120
W + 6W = 120
7W = 120
W, or width = 120%2F7, or 17%261%2F7 m
Length: 3%28120%2F7%29, or 360%2F7, or 51%263%2F7 m
If length is parallel to permanent wall, then: 2W + 3W = 120
5W = 120
W, or width = 120%2F5, or 24 m
Length: 3%2824%29, or 72 m