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Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
26 Jan 2014, 09:47

Expert's post

SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
27 Jan 2014, 06:15

Let l be the length and w be the width. From the question stem, we derive the foll equation: 2l+2w=360

Going to the statements: (1) from this statement, we can deduce that l=2w. by substitution, we can solve the equation for l and w above (statement 1 is sufficient) (2) from this statement, we can deduce the foll equation, l-w=60. by substitution, we can solve the equation in the question stem. (statement 2 is sufficient)

Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
01 Feb 2014, 08:37

Expert's post

SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
01 Sep 2014, 23:50

Bunuel wrote:

SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.

Hi Bunuel,

I have a query.

According to me the answer should be A. given below is my reasoning.

Statement 1 is sufficient there is no doubt in that.

In statement 2, its given that difference between length and width is 60 feet.

Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)

So statement 2 is insufficient , hence my answer A.

Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
02 Sep 2014, 02:36

Expert's post

prabhakarsharma wrote:

Bunuel wrote:

SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.

Hi Bunuel,

I have a query.

According to me the answer should be A. given below is my reasoning.

Statement 1 is sufficient there is no doubt in that.

In statement 2, its given that difference between length and width is 60 feet.

Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)

So statement 2 is insufficient , hence my answer A.

Please let me know where did i go wrong.

Thanks

The point is that the length of a rectangle is the measure of its longest side. So, the length is never smaller than the width. _________________

Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]
02 Sep 2014, 03:49

Bunuel wrote:

prabhakarsharma wrote:

Bunuel wrote:

SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.

Hi Bunuel,

I have a query.

According to me the answer should be A. given below is my reasoning.

Statement 1 is sufficient there is no doubt in that.

In statement 2, its given that difference between length and width is 60 feet.

Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)

So statement 2 is insufficient , hence my answer A.

Please let me know where did i go wrong.

Thanks

The point is that the length of a rectangle is the measure of its longest side. So, the length is never smaller than the width.

Thanks B,

but can you please let me know your reference for this assumption.

AFAIK no such property is associated with rectangle. I have also not seen any mention of such property in any of my reference books.