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# If the length of rectangle A is one–half the length of rectangle B, an

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Math Expert
Joined: 02 Sep 2009
Posts: 55803
If the length of rectangle A is one–half the length of rectangle B, an  [#permalink]

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11 Jan 2019, 01:59
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Difficulty:

15% (low)

Question Stats:

90% (00:54) correct 10% (00:40) wrong based on 37 sessions

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If the length of rectangle A is one–half the length of rectangle B, and the width of rectangle A is one–half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?

A. 1/4

B. 1/2

C. 1/1

D. 2/1

E. 4/1

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Joined: 23 Feb 2018
Posts: 11
Location: India
GPA: 3
Re: If the length of rectangle A is one–half the length of rectangle B, an  [#permalink]

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11 Jan 2019, 02:06
OA is A

Rectangle Length Width = Area
A. x. y = xy
B 2x. 2y. =4xy

Bunuel wrote:
If the length of rectangle A is one–half the length of rectangle B, and the width of rectangle A is one–half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?

A. 1/4

B. 1/2

C. 1/1

D. 2/1

E. 4/1

_________________
“The man who asks a question is a fool for a minute, the man who does not ask is a fool for life.”
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Joined: 18 Aug 2017
Posts: 3947
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If the length of rectangle A is one–half the length of rectangle B, an  [#permalink]

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11 Jan 2019, 04:49
let b = 4,2
a= 2,1

so 2*1/ 4*2 = 1/4 IMO A

Bunuel wrote:
If the length of rectangle A is one–half the length of rectangle B, and the width of rectangle A is one–half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?

A. 1/4

B. 1/2

C. 1/1

D. 2/1

E. 4/1

_________________
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Joined: 18 Oct 2018
Posts: 83
Location: India
GPA: 4
Re: If the length of rectangle A is one–half the length of rectangle B, an  [#permalink]

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11 Jan 2019, 11:53
Let length of rectangle B be L and width be H
So, for rectangle A, length=L/2 and width= H/2

So, area of A/area of B=(L/2*H/2)/L*H=1/4
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Re: If the length of rectangle A is one–half the length of rectangle B, an  [#permalink]

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11 Jan 2019, 12:14
Bunuel wrote:
If the length of rectangle A is one–half the length of rectangle B, and the width of rectangle A is one–half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?

A. 1/4

B. 1/2

C. 1/1

D. 2/1

E. 4/1

Let rectangle A be a 2x2 rectangle. Let rectangle B be a 4x4 rectangle. Then area A=4 and Area B =16, so Area A/Area B = 4/16 =1/4 A.
Re: If the length of rectangle A is one–half the length of rectangle B, an   [#permalink] 11 Jan 2019, 12:14
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