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If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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26 Sep 2017, 23:25
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If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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26 Sep 2017, 23:51
Bunuel wrote: If the perimeter of a rectangular garden plot is 80 meters, which of the following could be the length of one of its sides?
I. 30 meters II. 40 meters III. 50 meters
(A) I only (B) II only (C) III only (D) I and II (E) II and III \(2(l+b)=80 => l+b=40\) Hence \(l=40b\), so length has to be less than \(40\), because in GMAT side of a geometric figure is greater than 0 Option A
Last edited by niks18 on 27 Sep 2017, 05:50, edited 1 time in total.



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Re: If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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27 Sep 2017, 04:09
Bunuel wrote: If the perimeter of a rectangular garden plot is 80 meters, which of the following could be the length of one of its sides?
I. 30 meters II. 40 meters III. 50 meters
(A) I only (B) II only (C) III only (D) I and II (E) II and III Perimeter = 2L + 2B If perimeter is 80 then 2L should be below 80 L should be below 40 (rectangle has L & B) I only A Not D because if L is 40 then perimeter will be 80 + 2B in that case (breadth of rectangle will be 0)
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Re: If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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27 Sep 2017, 04:21
Luckisnoexcuse wrote: Bunuel wrote: If the perimeter of a rectangular garden plot is 80 meters, which of the following could be the length of one of its sides?
I. 30 meters II. 40 meters III. 50 meters
(A) I only (B) II only (C) III only (D) I and II (E) II and III Perimeter = 2L + 2B If perimeter is 80 then 2L should be below 80 L should be below 40 (rectangle has L & B) I only A Not D because if L is 40 then perimeter will be 80 + 2B in that case (breadth of rectangle will be 0) Mathematically width/length of the rectangle can be negligible and hence can be 0. essentially it will be a straight line. I am not sure how GMAT geometry treats this. Hi BunuelCan you give some insight as to whether breadth/length of a rectangle can be 0?



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Re: If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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27 Sep 2017, 04:33
niks18 wrote: Luckisnoexcuse wrote: Bunuel wrote: If the perimeter of a rectangular garden plot is 80 meters, which of the following could be the length of one of its sides?
I. 30 meters II. 40 meters III. 50 meters
(A) I only (B) II only (C) III only (D) I and II (E) II and III Perimeter = 2L + 2B If perimeter is 80 then 2L should be below 80 L should be below 40 (rectangle has L & B) I only A Not D because if L is 40 then perimeter will be 80 + 2B in that case (breadth of rectangle will be 0) Mathematically width/length of the rectangle can be negligible and hence can be 0. essentially it will be a straight line. I am not sure how GMAT geometry treats this. Hi BunuelCan you give some insight as to whether breadth/length of a rectangle can be 0? No, the dimensions must be greater than 0.
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Re: If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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27 Sep 2017, 05:48
Quote: Mathematically width/length of the rectangle can be negligible and hence can be 0. essentially it will be a straight line. I am not sure how GMAT geometry treats this. Hi BunuelCan you give some insight as to whether breadth/length of a rectangle can be 0? No, the dimensions must be greater than 0. Hi Bunuel, Thanks for clarifying and I agree that from GMAT stand point we can consider that a geometric figure must have dimensions because in GMAT concepts of calculus or complex numbers are not tested. Hence i will edit my solution accordingly. But Mathematically there is a concept of Degeneracy Condition according to which a line segment is a degenerate condition of a rectangle as one of its side tends to 0 And in fact we have used this concept in GMAT Club forum  https://gmatclub.com/forum/iftwosides ... 41227.html



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Re: If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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27 Sep 2017, 05:54
niks18 wrote: Quote: Mathematically width/length of the rectangle can be negligible and hence can be 0. essentially it will be a straight line. I am not sure how GMAT geometry treats this. Hi BunuelCan you give some insight as to whether breadth/length of a rectangle can be 0? No, the dimensions must be greater than 0. Hi Bunuel, Thanks for clarifying and I agree that from GMAT stand point we can consider that a geometric figure must have dimensions because in GMAT concepts of calculus or complex numbers are not tested. Hence i will edit my solution accordingly. But Mathematically there is a concept of Degeneracy Condition according to which a line segment is a degenerate condition of a rectangle as one of its side tends to 0 And in fact we have used this concept in GMAT Club forum  https://gmatclub.com/forum/iftwosides ... 41227.htmlYou most definitely do not need consider degenerate polygons on the GMAT. The question you mention also does NOT consider degenerate triangles.
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Re: If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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27 Sep 2017, 06:11
Bunuel wrote: niks18 wrote: Quote: Mathematically width/length of the rectangle can be negligible and hence can be 0. essentially it will be a straight line. I am not sure how GMAT geometry treats this. Hi BunuelCan you give some insight as to whether breadth/length of a rectangle can be 0? No, the dimensions must be greater than 0. Hi Bunuel, Thanks for clarifying and I agree that from GMAT stand point we can consider that a geometric figure must have dimensions because in GMAT concepts of calculus or complex numbers are not tested. Hence i will edit my solution accordingly. But Mathematically there is a concept of Degeneracy Condition according to which a line segment is a degenerate condition of a rectangle as one of its side tends to 0 And in fact we have used this concept in GMAT Club forum  https://gmatclub.com/forum/iftwosides ... 41227.htmlYou most definitely do not need consider degenerate polygons on the GMAT. The question you mention also does NOT consider degenerate triangles. Yup got it . I mentioned this example because in this example as well as in similar examples some experts have assumed minimum area of triangle to be 0. so if that is possible then minimum area of rectangle can be 0 for this case. But let's not harp on this further and its safe to assume that in GMAT area cannot be 0. Thanks Bunuel for your great insights



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Re: If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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29 Sep 2017, 11:20
Bunuel wrote: If the perimeter of a rectangular garden plot is 80 meters, which of the following could be the length of one of its sides?
I. 30 meters II. 40 meters III. 50 meters
(A) I only (B) II only (C) III only (D) I and II (E) II and III We can create the following equation: 2W + 2L = 80 W + L = 40 L = 40  W Thus, we see that the length must be less than 40. The only answer choice that fits this criterion is Roman numeral I, 30 meters. Answer: A
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If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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29 Sep 2017, 17:30
Bunuel wrote: If the perimeter of a rectangular garden plot is 80 meters, which of the following could be the length of one of its sides?
I. 30 meters II. 40 meters III. 50 meters
(A) I only (B) II only (C) III only (D) I and II (E) II and III If 80 is the perimeter, to find the limits, assume length L is the long side of the rectangle. 2L < 80 meters (or there wouldn't be width) L < 40 meters Only Option I, 30 meters, works. Answer (A)
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Re: If the perimeter of a rectangular garden plot is 80 meters, which of [#permalink]
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01 Oct 2017, 12:09
Bunuel wrote: If the perimeter of a rectangular garden plot is 80 meters, which of the following could be the length of one of its sides?
I. 30 meters II. 40 meters III. 50 meters
(A) I only (B) II only (C) III only (D) I and II (E) II and III We can create the following equation: 2W + 2L = 80 W + L = 40 L = 40  W Thus, we see that the length must be less than 40. The only answer choice that fits this criterion is Roman numeral I, 30 meters. Answer: A
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