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02 Nov 2015, 08:56
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A
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85% (02:02) correct
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In the figure above, the 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:
2015-11-02_1955.png [ 1.73 KiB | Viewed 4602 times ]
02 Nov 2015, 09:16
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total area = 45 + 76 =121
therefore , 2x + 1 = 11
x = 5
therefore , 2x + 1 = 11
x = 5
02 Nov 2015, 10:02
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Total area of the square LMNO = 76 + 3^2 + 6^2
= 76+9+36
= 121
Length of side of square LMNO = 2x+1
(2x+1)^2 =121
=> 2x+1 =11
=> x = 5
Answer A
= 76+9+36
= 121
Length of side of square LMNO = 2x+1
(2x+1)^2 =121
=> 2x+1 =11
=> x = 5
Answer A
