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Updated on: 15 Jul 2019, 04:24
Originally posted by Bunuel on 09 Oct 2018, 21:56.
Last edited by Sajjad1994 on 15 Jul 2019, 04:24, edited 1 time in total.
Last edited by Sajjad1994 on 15 Jul 2019, 04:24, edited 1 time in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (02:34) correct
23%
(02:49)
wrong
based on 61
sessions
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Date
Time
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Not Attempted Yet
In the figure, the area of rectangle ABCD is 100. What is the area of the square EFGH ?
(A) 256
(B) 275
(C) 309
(D) 399
(E) 401
Source: Nova GMAT
Difficulty Level: 600
Difficulty Level: 600
Attachment:
recs.jpg [ 15 KiB | Viewed 10385 times ]
09 Oct 2018, 23:11
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In my opinion it must be Option (E).
Area of rectangle is \((x+2)(x+3) = x^2+5x+6 = 100\)
So \(x^2+5x = 94\)
Area of square is \((2x+5)^2 = 4x^2+20x+25\) =4(x^2+5x)+25
Area = 4*94+25 = 360+16+25=401
Hence Option (E) is our choice.
Best,
G
Area of rectangle is \((x+2)(x+3) = x^2+5x+6 = 100\)
So \(x^2+5x = 94\)
Area of square is \((2x+5)^2 = 4x^2+20x+25\) =4(x^2+5x)+25
Area = 4*94+25 = 360+16+25=401
Hence Option (E) is our choice.
Best,
G
Bunuel
10 Oct 2018, 00:21
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If we simplify area of EFGH
=(2x+5)^2
=4(area of ABCD) +1
=4x100 + 1
=401
Posted from my mobile device
=(2x+5)^2
=4(area of ABCD) +1
=4x100 + 1
=401
Posted from my mobile device
