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how many fence posts are needed to enclose a square garden 40 feet on a side if a post is placed every 5 feet around the perimeter.

2007-07-04 13:22:11 · 13 answers · asked by cindy n 1 in Science & Mathematics Mathematics

the only answer choices are.........36....30.....35...28

2007-07-04 13:31:10 · update #1

answer choices are ...36,30,35,28

2007-07-04 13:31:56 · update #2

13 answers

Starting in one corner, there would be 9 posts in a row: 1@0ft, 2@5ft, 3@10ft, 4@15ft, 5@20ft, 6@25ft, 7@30ft, 8@35ft, 9@40ft. The 9th post would be the next corner. If we count only one corner on each side (started the next side when we get to the next corner), it's 8 to a side, for 32.

You have to be extra careful when doing these sorts of problems, because it's easy to end up with off-by-one errors. (For example, to fence 40 feet only with posts every 5 feet, requires 9 posts, not 40/5=8.)

If 32 isn't one of the answer choices, then the question is incorrect.

We can guess at how to correct the question, but it's just guessing. For example, the answer would be 36 if the posts could not handle a right-angle (i.e., if you had to put two posts at each corner)... but if that is the case it should be stated in the problem -- and the two posts then used at each corner would not be 5 feet apart. Someone else suggested 6 posts between each corner, but those posts would be 40/7 = 5.71 feet apart, not 5 feet apart as stated in the problem.

2007-07-04 13:32:34 · answer #1 · answered by McFate 7 · 1 0

Square Fence Post

2016-11-12 05:04:26 · answer #2 · answered by Anonymous · 0 0

Picture each side, leave out the starting corner post.
5 divides into 40, 8 times, so there are 8 posts.
Each starting corner is another side's end-post.
So 4 sides will have 32 posts total.

2007-07-04 13:49:20 · answer #3 · answered by Robert S 7 · 0 1

40 * 4 / 5 = 32

2007-07-04 13:26:20 · answer #4 · answered by mechnginear 5 · 1 0

That would be 8 posts to a side, but deduct 4 since the corners posts are corners for two sides at once. That makes 28. Four corner posts with six posts a side inbetween the corners.

2007-07-04 13:29:00 · answer #5 · answered by henry d 5 · 0 2

One may determine 32 ( 8 per side) but this is not so. It would take 28 ( 4 for the corners and 6 inside the corners.)

2007-07-04 13:36:55 · answer #6 · answered by Emissary 6 · 0 2

A lot of people here can't seem to do math, or at least estimate quantities correctly. As my college professor used to say, draw a picture, it will all make a lot more sense then. I'd just give you the answer but I'd only deprive you of the learning process, this one is a bit of a brain teaser but it's not that hard... go ahead draw the picture.
:)

2007-07-04 13:56:59 · answer #7 · answered by ADB 4 · 0 1

70 feet (4 * 17 1/2)

2016-04-01 07:56:53 · answer #8 · answered by Anonymous · 0 0

32
9 posts on opposite sides, 7 posts on the other opposing sides. 9x2=18
7x2=14
---
32

2007-07-04 13:29:16 · answer #9 · answered by Grampedo 7 · 1 1

30 dear

2007-07-04 13:41:07 · answer #10 · answered by gangico 3 · 1 0

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