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A fence consists of m lengths of fence that are each n feet
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Updated on: 10 Dec 2012, 00:36
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A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end? A. mn B. m(n + x) C. m(n + x) + x D. m(n + x) + 2x E. 2mn
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Originally posted by akshayb2 on 09 Dec 2012, 11:53.
Last edited by Bunuel on 10 Dec 2012, 00:36, edited 1 time in total.
Renamed the topic, edited the question and moved to PS forum.



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Re: A fence consists of m lengths of fence that are each n feet
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10 Dec 2012, 00:44
akshayb2 wrote: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?
A. mn B. m(n + x) C. m(n + x) + x D. m(n + x) + 2x E. 2mn Notice that since a fence post separates each length of fence, then there will be m+1 posts, for example if there are m=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (m+1)x. The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (m+1)x+mn=mx+x+mn=m(n+x)+x. Answer: C. Hope it's clear. P.S. Please read carefully and follow: rulesforpostingpleasereadthisbeforeposting133935.html Please pay attention to the rules #2 and 3. Thank you.
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Re: A fence consists of m lengths of fence that are each n feet
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10 Dec 2012, 05:59
Hey Bunuel, thanks for the quick reply. I was bit confused with the wordings. Its clear now



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Re: A fence consists of m lengths of fence that are each n feet
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11 Dec 2012, 12:37
Bunnuel I don't agree with you. For me if there are n = 2 fences, then according to the requirement of there being a post to seperate them, there ought to be n1 post. So mn + (n1)x But if the fence got to start and finish with a post, then yes you are right. But this is not what the stem says. I am getting things wrong? Please help. Brother Karamazov



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Re: A fence consists of m lengths of fence that are each n feet
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12 Dec 2012, 02:30



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Re: A fence consists of m lengths of fence that are each n feet
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12 Dec 2012, 06:58
Bunnuel, you are so kind. You should at times go angry. But don't mind me. I struggle with English some times Thanks anyway Brother Karamazov



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Re: A fence consists of m lengths of fence that are each n feet
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14 Dec 2012, 02:55
Bunuel wrote: akshayb2 wrote: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?
A. mn B. m(n + x) C. m(n + x) + x D. m(n + x) + 2x E. 2mn Notice that since a fence post separates each length of fence, then there will be n+1 posts, for example if there are n=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (n+1)x. The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (n+1)x+mn= nx+x+mn=m(n+x)+x.Answer: C. Hope it's clear. Hi, could you please recheck the highlighted portion. I think there is a mistake.



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Re: A fence consists of m lengths of fence that are each n feet
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14 Dec 2012, 03:02
mtripathy wrote: Bunuel wrote: akshayb2 wrote: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?
A. mn B. m(n + x) C. m(n + x) + x D. m(n + x) + 2x E. 2mn Notice that since a fence post separates each length of fence, then there will be n+1 posts, for example if there are n=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (n+1)x. The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (n+1)x+mn= nx+x+mn=m(n+x)+x.Answer: C. Hope it's clear. Hi, could you please recheck the highlighted portion. I think there is a mistake. There was a typo: n instead of m ( afenceconsistsofmlengthsoffencethatareeachnfeet143845.html#p1152801) Thus it should be (m+1)x+mn=mx+x+mn=m(n+x)+x. Thank you for pointing that out. +1.
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Re: A fence consists of m lengths of fence that are each n feet
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14 Dec 2012, 03:17
Ans: the total length of fence without the posts would be mn, now if there are 2 fences there would be 3 posts because PFPFP, so total posts= (n+1). Length of posts=(n+1)x. Total length of fence= nx+x+mn, therefore the answer is (C).
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Re: A fence consists of m lengths of fence that are each n feet
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17 Dec 2012, 00:15
Firstly the term just "fence" is not clear. Now a "fence" can be a closed fence or it can be an open fence. If this kind of wording was given then it would have been more clear because..
Things we know for sure 1. A "post" separates the "fence lengths" 2. m = #of fence lengths, 1lenght = n feet long, total length of the fence alone = mn 3. z = # of posts, length of 1 post = x feet long, total length of all the posts alone = zx 4. Total length of fence and posts = mn + zx
The crucial factor here is z. we have to determine what z is.
Now i stress more on the wording here in the question is because 1. Closed fence (the ends are joined) When a fence is closed then the #of posts = #of fence lengths. Diagram it, it looks something like PFPF m = z . Therefore Total = mn + mx
2. Open Fence (the ends are not joined) What if the Fence starts wit a post Case 1  PFPFP here x = m + 1. Total length = mn + x(m + 1) Case 2  PFPFPF here x = m, Total Length = mn + mx
What if The fence starts with a Fence length Case 1  FPFPF here x = m 1, Total length = mn + (m1)x Case 2  FPFP here x = m, Total Lenght = mn + mx
We have here three different kinds of answers and all of them are correct. The question is not specific.



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Re: A fence consists of m lengths of fence that are each n feet
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09 Feb 2014, 02:22
Bunuel wrote: akshayb2 wrote: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?
A. mn B. m(n + x) C. m(n + x) + x D. m(n + x) + 2x E. 2mn Notice that since a fence post separates each length of fence, then there will be m+1 posts, for example if there are m=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (m+1)x. The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (m+1)x+mn=mx+x+mn=m(n+x)+x. Answer: C. Hope it's clear. P.S. Please read carefully and follow: rulesforpostingpleasereadthisbeforeposting133935.html Please pay attention to the rules #2 and 3. Thank you. Hi Bunnel Can you make a pictorial representation of your explanation? I'm not able to get it. Apologies for the pain.
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Re: A fence consists of m lengths of fence that are each n feet
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09 Feb 2014, 02:40
Qoofi wrote: Bunuel wrote: akshayb2 wrote: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?
A. mn B. m(n + x) C. m(n + x) + x D. m(n + x) + 2x E. 2mn Notice that since a fence post separates each length of fence, then there will be m+1 posts, for example if there are m=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (m+1)x. The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (m+1)x+mn=mx+x+mn=m(n+x)+x. Answer: C. Hope it's clear. P.S. Please read carefully and follow: rulesforpostingpleasereadthisbeforeposting133935.html Please pay attention to the rules #2 and 3. Thank you. Hi Bunnel Can you make a pictorial representation of your explanation? I'm not able to get it. Apologies for the pain. It's already given. If m=2 fences there will be 3 posts: {Post}{Fence}{Post}{Fence}{Post}. Each fence is n feet and each post is x feet.
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A fence consists of m lengths of fence that are each n feet
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31 Jul 2016, 00:06
How can we assume there is a post at the beginning . It could be the case : fence post fence post , in that case no of fences = no of posts.
Please help.
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Re: A fence consists of m lengths of fence that are each n feet
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31 Jul 2016, 00:26
megha_2709 wrote: How can we assume there is a post at the beginning . It could be the case : fence post fence post , in that case no of fences = no of posts.
Please help.
Regards Megha It is given in the question "including the fence posts on each end". Hence, we need to consider fence postfencefence post .. order.
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Re: A fence consists of m lengths of fence that are each n feet
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01 Aug 2016, 13:40
abhimahna wrote: megha_2709 wrote: How can we assume there is a post at the beginning . It could be the case : fence post fence post , in that case no of fences = no of posts.
Please help.
Regards Megha It is given in the question "including the fence posts on each end". Hence, we need to consider fence postfencefence post .. order. oh yes.. Reckless reading. Thank you for your reply. Regards Megha



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Re: A fence consists of m lengths of fence that are each n feet
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12 Sep 2016, 18:45
Hello Friends, i did this directly as shown:
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Re: A fence consists of m lengths of fence that are each n feet
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02 Jul 2018, 10:08
akshayb2 wrote: A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?
A. mn B. m(n + x) C. m(n + x) + x D. m(n + x) + 2x E. 2mn The total length of the fence only (without the posts) is mn feet long. Since each post is x feet long and there is a post at each end of the fence in addition to the posts separating each length of the fence, there must be (m + 1) posts along the fence. Thus the total length of the posts is x(m + 1), and the total length of the fence, including the posts, is: mn + x(m + 1) mn + xm + x m(n + x) + x Alternate Solution: Let’s suppose that there were m = 3 lengths of fence that are n = 2 feet long and the posts separating the fences were x = 1 foot. Under these assumptions, the total length is 1 + 2 + 1 + 2 + 1 + 2 + 1 = 10 feet. Let us see which answer choice(s) give us 10 when m = 3, n = 2 and x = 1: Answer Choice A: mn = 3(2) = 6 Eliminate answer choice A. Answer Choice B: m(n + x) = 3(2 + 1) = 9 Eliminate answer choice B. Answer Choice C: m(n + x) + x = 3(2 + 1) + 1 = 10 C is a possible choice. Answer Choice D: m(n + x) + 2x = 3(2 + 1) + 2 = 11 Eliminate answer choice D. Answer Choice E: 2mn = 2(3)(2) = 12 Eliminate answer choice E. The only possible answer choice is C. Answer: C
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