Word Problems Made Easy : GMAT Quantitative Section - Page 2
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12 Apr 2012, 22:53
vidhya16 wrote:
All,

The length of a rectangular garden surrounded by a walkway is twice its width. If difference between the length and width of just the rectangular garden is 10 meters, what will be the width of the walkway if just the garden has width 6 meters?

Note: My translation :"The length of a rectangular garden surrounded by a walkway is twice its width." =>

Let L,W be the length and width of the garden respectively. Let x be the width of the walkway. According to the above statement L = 2x.

" If difference between the length and width of just the rectangular garden is 10 meters"

L - W = 10

also W = 6. => L-6 = 10 => L = 16 => x=8. but the explanation above is still not clear for me.

Please can some one explain how the author translated the above statements in to equation as above?
Thanks,
Vids

I have the same question....could someone please explain this example?
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02 Jun 2012, 14:20
peace and good will to all
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03 Jun 2012, 04:27
Great post.

However, I translate the 5 example and what is wrong with this:

garden : L1 L1 W1 W1

walkway: L2 L2 W2 W2

L1= 2*W2

L1 - W1 = 10

W1= 6

W2 = ?

2W2 - 6 = 10 >>>> W2 = 8

Same of the post above. May a Mod could say something about .......................
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16 Nov 2012, 06:17
Great Post man..!

Thanks for putting time and effort for the forum.... +1 from me..
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03 Jan 2013, 23:51
I have a problem here.
it is said that: If the problem says ‘the difference of x and y’ it means ‘x – y’
is it true? isn't it means |x-y|, stated i other words, the distance between x and y?
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10 Jul 2013, 23:08
Bumping for review*.

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13 Sep 2013, 19:53
catty2004 wrote:
vidhya16 wrote:
All,

The length of a rectangular garden surrounded by a walkway is twice its width. If difference between the length and width of just the rectangular garden is 10 meters, what will be the width of the walkway if just the garden has width 6 meters?

Note: My translation :"The length of a rectangular garden surrounded by a walkway is twice its width." =>

Let L,W be the length and width of the garden respectively. Let x be the width of the walkway. According to the above statement L = 2x.

" If difference between the length and width of just the rectangular garden is 10 meters"

L - W = 10

also W = 6. => L-6 = 10 => L = 16 => x=8. but the explanation above is still not clear for me.

Please can some one explain how the author translated the above statements in to equation as above?
Thanks,
Vids

I have the same question....could someone please explain this example?

I am unable to understand this problem too. Why do we assume uniform width for walkway?

Rgds
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18 Sep 2013, 23:59
I tried to understand the derivation of the first author, but failed to do so. So, I just drew a figure. Once you understand that the width of the rectangular garden includes the walkway and that "just the garden" lies within this rectangular, the question becomes simple.
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12 Nov 2014, 14:08
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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22 Aug 2015, 06:25
In this question are we assuming the width of the walkway to be uniform around the garden ?
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22 Aug 2015, 06:32
vimoha wrote:
In this question are we assuming the width of the walkway to be uniform around the garden ?

Yes. The width is assumed to be uniform around the garden.
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30 Aug 2015, 17:58
Dear All
Need great help
Question 5 is referred .
How to get this equation : L -2x = Length of just garden and W-2x = width of just garden , I can't find it in the question steam , please help , many thanks
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30 Aug 2015, 18:06
Ohh sorry I got it,
There are twice of walk away need to be subtracted from garden to make the equation
Many thanks
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29 Apr 2016, 07:56
catty2004 wrote:
vidhya16 wrote:
All,

The length of a rectangular garden surrounded by a walkway is twice its width. If difference between the length and width of just the rectangular garden is 10 meters, what will be the width of the walkway if just the garden has width 6 meters?

Note: My translation :"The length of a rectangular garden surrounded by a walkway is twice its width." =>

Let L,W be the length and width of the garden respectively. Let x be the width of the walkway. According to the above statement L = 2x.

" If difference between the length and width of just the rectangular garden is 10 meters"

L - W = 10

also W = 6. => L-6 = 10 => L = 16 => x=8. but the explanation above is still not clear for me.

Please can some one explain how the author translated the above statements in to equation as above?
Thanks,
Vids

I have the same question....could someone please explain this example?

I know this is old but word problems are my weakness. Can someone explain this please?

EDIT: where i am getting confused is I'm not sure why there can be a separate width for just the walkway. Because the walkway surrounds the garden, then shouldn't the walkway for just the garden be the width of garden plus walkway??
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29 Apr 2016, 08:22
ross14 wrote:

I know this is old but word problems are my weakness. Can someone explain this please?

Word problems become easier when you break it down into manageable chunks.

The length of a rectangular garden surrounded by a walkway is twice its width. If difference between the length and width of just the rectangular garden is 10 meters, what will be the width of the walkway if just the garden has width 6 meters?

Refer to the figure for the description.

L,W and x are the length, width of the garden and width of the walkway around the garden.

From "The length of a rectangular garden surrounded by a walkway is twice its width." , you get = 2*width of the garden ---> L' = 2*W' , where L' = length of garden with the walkway and W' = width of the garden with the walkway.

Thus, from above , you get L' = 2W' --> L+2x = 2*(W+2x)

From, "Difference between the length and width of just the rectangular garden is 10 meters" ---> L-W = 10

Finally, from "garden has width 6 meters" ---> W=6.

Now, you have 3 distinct equations and 3 variables --> solve for them.

Hope this helps.
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Last edited by Engr2012 on 29 Apr 2016, 09:12, edited 1 time in total.
Updated the figure.

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