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Hoozan
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Hoozan
Riley is planting tulips along the edge of her rectangular flower garden. If the flower garden is 72 square feet, and she plants one tulip per foot along the edge of each side with the exception of one of the 9-foot sides of the garden, how many tulips will she plant?

(A) 16
(B) 17
(C) 25
(D) 26
(E) 34

Feel ans should be C instead of D

So the sides are 9, 9, 8 , 8

We are leaving out one 9 foot side
So the rest of the sides total 9 +8 +8= 25
1 tulip per foot so 25 Tulips

Hoozan, please show how the ans is 26 Thank you.

Ans is correct ..D

simpler way to understand is to draw a rectangle and analyze :)
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Hoozan

Official Explanation

As the garden is rectangular, we can find the other dimension from the area and one dimension given to us.

\(Area = lw\), so 72 = 9(w). We get \(w = 8\)

9 tulips on each side of the 8-feet side and
8 tulips on the single 9-feet side

So total tulips = 9+9+9 = 26

Hey Hoozan, as per your figure, don't you think Rily is planting 2 tulips (1 on each end) on the edge that she is supposed to exclude? I understand your POV as well, but just sharing an alternate thought.
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Hoozan

Official Explanation

As the garden is rectangular, we can find the other dimension from the area and one dimension given to us.

\(Area = lw\), so 72 = 9(w). We get \(w = 8\)

9 tulips on each side of the 8-feet side and
8 tulips on the single 9-feet side

So total tulips = 9+9+9 = 26

Hey Hoozan, as per your figure, don't you think Rily is planting 2 tulips (1 on each end) on the edge that she is supposed to exclude? I understand your POV as well, but just sharing an alternate thought.

Yes that is one Outlook. But if we simply notice the answer choice we don't have 23 as one. So clearly we should include the vertices of the rectangle

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Hoozan
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Hoozan

Official Explanation

As the garden is rectangular, we can find the other dimension from the area and one dimension given to us.

\(Area = lw\), so 72 = 9(w). We get \(w = 8\)

9 tulips on each side of the 8-feet side and
8 tulips on the single 9-feet side

So total tulips = 9+9+9 = 26

Hey Hoozan, as per your figure, don't you think Rily is planting 2 tulips (1 on each end) on the edge that she is supposed to exclude? I understand your POV as well, but just sharing an alternate thought.

Yes that is one Outlook. But if we simply notice the answer choice we don't have 23 as one. So clearly we should include the vertices of the rectangle

Posted from my mobile device

I take your point, but I have never really come across a question in quant in which the inference of that question is based on the choices.
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Quote:
I take your point, but I have never really come across a question in quant in which the inference of that question is based on the choices.

We actually have! There are questions to which we have two correct answer choices and hence need to look at the solution set to make our pick. For instance:

If \(x^2 = 9\), Then what is the value of x?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Now, for x^2 = 9, x = +3 or x = -3. But since we have +3 as the answer choice we know we do not have to consider the negative solution.

P.S. Brian123 I do understand what you mean but there are cases where we indeed do look at the answer choices for further understanding of the question. Such as the one above
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Hoozan
Quote:
I take your point, but I have never really come across a question in quant in which the inference of that question is based on the choices.

We actually have! There are questions to which we have two correct answer choices and hence need to look at the solution set to make our pick. For instance:

If \(x^2 = 9\), Then what is the value of x?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Now, for x^2 = 9, x = +3 or x = -3. But since we have +3 as the answer choice we know we do not have to consider the negative solution.

P.S. Brian123 I do understand what you mean but there are cases where we indeed do look at the answer choices for further understanding of the question. Such as the one above

In the question that you've framed, I'd expect GMAT to say "which one of the following choices satisfy the equation" or something like that. Though, if you have any official questions like that, please let me know. Thanks!
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One addition I’d recommend to the question.


“What is the MOST tulips she can plant if she plants 1 tulip every 1 foot on three of the sides, excluding one of the 9 foot sides?

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stne
Hoozan
Riley is planting tulips along the edge of her rectangular flower garden. If the flower garden is 72 square feet, and she plants one tulip per foot along the edge of each side with the exception of one of the 9-foot sides of the garden, how many tulips will she plant?

(A) 16
(B) 17
(C) 25
(D) 26
(E) 34

Feel ans should be C instead of D

So the sides are 9, 9, 8 , 8

We are leaving out one 9 foot side
So the rest of the sides total 9 +8 +8= 25
1 tulip per foot so 25 Tulips

Hoozan, please show how the ans is 26 Thank you.

think of a stretch of a 9 feet side to contain 10 'vertices' each 1 foot apart, and the side-ones are to be the starting point of the other 2 sides.

so 10 (including edges) + 2*8 (remember 8 length side has 9 vertices, but one edge case is considered in our base length)

so 26 (D)
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Hoozan
Riley is planting tulips along the edge of her rectangular flower garden. If the flower garden is 72 square feet, and she plants one tulip per foot along the edge of each side with the exception of one of the 9-foot sides of the garden, how many tulips will she plant?

(A) 16
(B) 17
(C) 25
(D) 26
(E) 34

Bunuel

bb

I just came across this question as part of Jeff Sackman’s Word Problem question packet.

I, too, get the answer (D) 26. However, according to the packet, I was incorrect (my reason for coming here).

He has the official answer marked as (C) 25. As per his explanation:

“As the garden is rectangular, we can find the other dimension from the area and one dimension is given to us.
Area = lw

So,

72 = 9(w)
w = 8

The perimeter of the three sides along which she will plant tulips is 8 + 8 + 9 = 25, and as she will plant one tulip per foot along those sides, the answer is 25(1) = 25.

Choice C”

His official explanation could be wrong, but I thought I would post it for the benefit of the community.

All the best!

Posted from my mobile device
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Fdambro294
Hoozan
Riley is planting tulips along the edge of her rectangular flower garden. If the flower garden is 72 square feet, and she plants one tulip per foot along the edge of each side with the exception of one of the 9-foot sides of the garden, how many tulips will she plant?

(A) 16
(B) 17
(C) 25
(D) 26
(E) 34

Bunuel

bb

I just came across this question as part of Jeff Sackman’s Word Problem question packet.

I, too, get the answer (D) 26. However, according to the packet, I was incorrect (my reason for coming here).

He has the official answer marked as (C) 25. As per his explanation:

“As the garden is rectangular, we can find the other dimension from the area and one dimension is given to us.
Area = lw

So,

72 = 9(w)
w = 8

The perimeter of the three sides along which she will plant tulips is 8 + 8 + 9 = 25, and as she will plant one tulip per foot along those sides, the answer is 25(1) = 25.

Choice C”

His official explanation could be wrong, but I thought I would post it for the benefit of the community.

All the best!

Posted from my mobile device

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