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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  In the figure above, square LMNO has a side of length 2x + 1 and the

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Math Expert V
Joined: 02 Sep 2009
Posts: 55670
In the figure above, square LMNO has a side of length 2x + 1 and the  [#permalink]

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Difficulty:   15% (low)

Question Stats: 96% (01:36) correct 4% (00:36) wrong based on 34 sessions

HideShow timer Statistics In the figure above, square LMNO has a side of length 2x + 1 and the two smaller squares have sides of lengths 3 and 6. If the area of the shaded region is 76, what is the value of x?

A. 5
B. 6
C. 7
D. 11
E. 14

Attachment: 2019-01-11_1245.png [ 11.7 KiB | Viewed 357 times ]

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Intern  B
Joined: 23 Feb 2018
Posts: 11
Location: India
GPA: 3
Re: In the figure above, square LMNO has a side of length 2x + 1 and the  [#permalink]

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OA is A

Area of Big square- sum of area of smaller squares=76

(2x+1)^2-45=76
when we solve we get the roots of the equation -6,5 so the answer is A.

Bunuel wrote: In the figure above, square LMNO has a side of length 2x + 1 and the two smaller squares have sides of lengths 3 and 6. If the area of the shaded region is 76, what is the value of x?

A. 5
B. 6
C. 7
D. 11
E. 14

Attachment:
2019-01-11_1245.png

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“The man who asks a question is a fool for a minute, the man who does not ask is a fool for life.”
CEO  P
Joined: 18 Aug 2017
Posts: 3889
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the figure above, square LMNO has a side of length 2x + 1 and the  [#permalink]

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Bunuel wrote: In the figure above, square LMNO has a side of length 2x + 1 and the two smaller squares have sides of lengths 3 and 6. If the area of the shaded region is 76, what is the value of x?

A. 5
B. 6
C. 7
D. 11
E. 14

Attachment:
2019-01-11_1245.png

(2x+1)^2 -45 = 76
solve for x
x= 5 & -6
IMO A
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Manager  B
Joined: 18 Oct 2018
Posts: 83
Location: India
GPA: 4
Re: In the figure above, square LMNO has a side of length 2x + 1 and the  [#permalink]

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Area of square LMNO= (2x+1)^2
Sum of Area of small squares= 3^2 + 6^2=9+36=45

Now, (2x+1)^2 -45=76 (area of shaded portion)
Thus (x+6)(x-5)=0
Hence, x=5 Re: In the figure above, square LMNO has a side of length 2x + 1 and the   [#permalink] 11 Jan 2019, 12:18
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In the figure above, square LMNO has a side of length 2x + 1 and the  