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

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

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New post 19 Sep 2017, 23:46
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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
[Reveal] Spoiler: OA

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

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New post 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

Answer A.

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

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New post 20 Sep 2017, 11:13
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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



Answer A

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

Kudos [?]: 71 [1], given: 487

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

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New post 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



Answer A

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

_______________
Edited. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 129407 [0], given: 12201

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