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# The length of a rectangular field X is 2 kilometers greater than the

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Math Expert
Joined: 02 Sep 2009
Posts: 46305
The length of a rectangular field X is 2 kilometers greater than the [#permalink]

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19 Sep 2017, 23:46
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Question Stats:

94% (01:09) correct 6% (00:38) wrong based on 17 sessions

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The length of a rectangular field X is 2 kilometers greater than the side of square field Y, and the width of field X is 2 kilometers less than the side of field Y. If y^2 is the area of field Y in square kilometers, which of the following gives the area, in square kilometers, of field X?

(A) y^2 – 4
(B) y^2 – 2
(C) y^2
(D) y^2 + 2
(E) y^2 + 4

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Posts: 664
Location: India
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Re: The length of a rectangular field X is 2 kilometers greater than the [#permalink]

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20 Sep 2017, 11:03
Bunuel wrote:
The length of a rectangular field X is 2 kilometers greater than the side of square field Y, and the width of field X is 2 kilometers less than the side of field Y. If y2 is the area of field Y in square kilometers, which of the following gives the area, in square kilometers, of field X?

(A) y^2 – 4
(B) y^2 – 2
(C) y^2
(D) y^2 + 2
(E) y^2 + 4

Let s be the side of the square field and l,b be the length and width of the rectangular field respectively.
l=s+2
b=s-2
Area of field X = lxb = (s+2)(s-2)=s^2-4
Area of field Y = y^2
Hence, y^2=s^2 (area of square = side^2)

Therefore, Area of field X =y^2-4

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Director
Joined: 21 May 2013
Posts: 647
Re: The length of a rectangular field X is 2 kilometers greater than the [#permalink]

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20 Sep 2017, 11:13
1
Bunuel wrote:
The length of a rectangular field X is 2 kilometers greater than the side of square field Y, and the width of field X is 2 kilometers less than the side of field Y. If y2 is the area of field Y in square kilometers, which of the following gives the area, in square kilometers, of field X?

(A) y^2 – 4
(B) y^2 – 2
(C) y^2
(D) y^2 + 2
(E) y^2 + 4

Bunuel, please correct the area of field-it should be y^2 not y2
Math Expert
Joined: 02 Sep 2009
Posts: 46305
Re: The length of a rectangular field X is 2 kilometers greater than the [#permalink]

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20 Sep 2017, 11:24
KS15 wrote:
Bunuel wrote:
The length of a rectangular field X is 2 kilometers greater than the side of square field Y, and the width of field X is 2 kilometers less than the side of field Y. If y2 is the area of field Y in square kilometers, which of the following gives the area, in square kilometers, of field X?

(A) y^2 – 4
(B) y^2 – 2
(C) y^2
(D) y^2 + 2
(E) y^2 + 4

Bunuel, please correct the area of field-it should be y^2 not y2

_______________
Edited. Thank you.
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Re: The length of a rectangular field X is 2 kilometers greater than the   [#permalink] 20 Sep 2017, 11:24
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