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Sub 505 (Easy)|   Geometry|      
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Bunuel
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In the figure, the area of the first rectangle is 100. What is the are 21 Oct 2021, 01:30
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D
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83% (00:49) correct 17% (00:43) wrong based on 118 sessions

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In the figure, the area of the first rectangle is 100. What is the area of the second rectangle?

(1) x = 5
(2) y = 20



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D
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
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In the figure, the area of the first rectangle is 100. What is the are Updated on: 21 Oct 2021, 21:00
Originally posted by AbRathod on 21 Oct 2021, 02:41.
Last edited by AbRathod on 21 Oct 2021, 21:00, edited 1 time in total.
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IMO - D
Pre-phrase the question:-
To find - x(y+5) = xy + 5x = 100 + 5x (Since xy = 100, from R1)

Lets look at the statements now.
S1 - Sufficient
S2 - Sufficient, We get , x = 5 from R1 ; 20x = 100
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In the figure, the area of the first rectangle is 100. What is the are 21 Oct 2021, 04:47
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IMO, the answer is D. We can solve for the area of the second rectangle, i.e. \((x)(y+5)\), if we know either \(x\) or \(y\), since we know that \(xy=100\). Please correct me if I'm wrong.
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In the figure, the area of the first rectangle is 100. What is the are 21 Oct 2021, 05:44
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In the figure, the area of the first rectangle is 100. What is the area of the second rectangle?

Area of first rectangle = x*y
Area of second rectangle = x*(y+5)

(1) x = 5
x*y = 100
x=5 , y =20
Sufficient. We have distinct value of x and y.

(2) y = 20
x*y = 100
x=5
Again sufficient. We have distinct value of x and y.

IMO D
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In the figure, the area of the first rectangle is 100. What is the are Updated on: 21 Oct 2021, 20:11
Originally posted by 100mitra on 21 Oct 2021, 18:18.
Last edited by 100mitra on 21 Oct 2021, 20:11, edited 3 times in total.
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Correct Option D

Area of Rectangle (1) = l*w = XY = 100 ---- (1)
Area of Rectangle (2) = l*w = x(y+5) = XY + x5 --- (2)

Statement (1) (X = 5) = 100 + 5*5 = 125 = Sufficient
Statement (2) (Y = 20) XY = 100, X = (100/20) = 5,
Second rectangle X =5, Y = 20+5 = 25 = 25*5 = 125 Sufficient

Correct Option D
Both the statement are sufficient to find area of Rectangle.
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In the figure, the area of the first rectangle is 100. What is the are 21 Oct 2021, 22:54
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IMO: D

given xy = 100
x(y+20) = ?

Statement 1:
x = 5 => y = 20, area of second rectangle can be found.

Statement 2:
y = 20 => x =5, area of second rectangle can be found.

Both statements are individually sufficient.
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In the figure, the area of the first rectangle is 100. What is the are 29 Nov 2022, 12:32
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