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# The hexagonal face of the block shown in the figure above has sides

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Math Expert
Joined: 02 Sep 2009
Posts: 51100
The hexagonal face of the block shown in the figure above has sides  [#permalink]

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22 Jul 2018, 22:20
00:00

Difficulty:

15% (low)

Question Stats:

93% (01:21) correct 7% (02:02) wrong based on 45 sessions

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The hexagonal face of the block shown in the figure above has sides of equal length and angles of equal measure. If each lateral face is rectangular, what is the area, in square inches, of one lateral face?

(A) $$2 \sqrt{10}$$

(B) 12

(C) 20

(D) $$12 \sqrt{3}$$

(E) 24

Attachment:

2018-07-23_1017.png [ 10.12 KiB | Viewed 517 times ]

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Math Expert
Joined: 02 Aug 2009
Posts: 7099
The hexagonal face of the block shown in the figure above has sides  [#permalink]

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23 Jul 2018, 01:22
Bunuel wrote:

The hexagonal face of the block shown in the figure above has sides of equal length and angles of equal measure. If each lateral face is rectangular, what is the area, in square inches, of one lateral face?

(A) $$2 \sqrt{10}$$

(B) 12

(C) 20

(D) $$12 \sqrt{3}$$

(E) 24

Attachment:
The attachment 2018-07-23_1017.png is no longer available

Equal sides and equal angles means REGULAR hexagon.
If the biggest diagonal is 24 half will be 12 and will meet at the centre of hexagon.
Thus formed is equilateral triangle of side is 12..

So the lateral face has sides 12 and 2, so area is 12*2=24

E
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PicsArt_07-23-02.49.49.jpg [ 9.3 KiB | Viewed 405 times ]

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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The hexagonal face of the block shown in the figure above has sides &nbs [#permalink] 23 Jul 2018, 01:22
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