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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

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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

by M7MBA » Sun Jun 27, 2021 12:05 am
2018-07-23_1017.png
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) \(12\sqrt3\)

(E) \(24\)

Answer: E

Source: GMAT Paper Tests
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Re: The hexagonal face of the block shown in the figure above has sides of equal length and angles of equal measure. If

by swerve » Fri Jul 02, 2021 7:24 am
M7MBA wrote: ↑
Sun Jun 27, 2021 12:05 am
 2018-07-23_1017.png

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) \(12\sqrt3\)

(E) \(24\)

Answer: E

Source: GMAT Paper Tests
Equal sides and equal angles means REGULAR hexagon.

If the biggest diagonal is \(24,\) half will be \(12\) and will meet at the center of the hexagon.

Thus formed is equilateral triangle of side is \(12.\)

Therefore, the lateral face has sides \(12\) and \(2,\) so the area is \(12\cdot 2=24\) E
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