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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?

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?

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.

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

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

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??

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.

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.

Attachment:

4-29-16 12-09-21 PM.jpg

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.

This is where you lost me. can you please explain how you went from L=2W (where L is length of walkway +garden and W is width of walkway+garden) to L+2x=2(w+2x). Doesn't that mean you are ver counting the L and W?

This is where you lost me. can you please explain how you went from L=2W (where L is length of walkway +garden and W is width of walkway+garden) to L+2x=2(w+2x). Doesn't that mean you are ver counting the L and W?

You are right. I have updated the picture. Although what I wrote earlier still stands, the picture was not consistent with what I mentioned.

Thus, L is length of garden only and W is width of garden only.

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