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M22 Q24

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Senior Manager
Senior Manager
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Joined: 18 Aug 2009
Posts: 439
Schools: UT at Austin, Indiana State University, UC at Berkeley
WE 1: 5.5
WE 2: 5.5
WE 3: 6.0
Followers: 6

Kudos [?]: 43 [0], given: 16

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M22 Q24 [#permalink] New post 18 Jan 2010, 13:08
If the area of a rectangle is 80, what is the angle between the diagonal of the rectangle and its longer side?

The perimeter of the rectangle is 84
The shorter side of the rectangle is 2

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Can someone elaborate on how to find an angle, if we know the sides of the triangle?
Thank you
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Senior Manager
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Joined: 30 Aug 2009
Posts: 291
Location: India
Concentration: General Management
Followers: 2

Kudos [?]: 84 [0], given: 5

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Re: M22 Q24 [#permalink] New post 18 Jan 2010, 19:43
mirzohidjon wrote:
If the area of a rectangle is 80, what is the angle between the diagonal of the rectangle and its longer side?

The perimeter of the rectangle is 84
The shorter side of the rectangle is 2

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Can someone elaborate on how to find an angle, if we know the sides of the triangle?
Thank you



will go with D
stmnt 1 - l + b = 42------1 and l*b = 80-----2
solving 1 and 2 we get l = 40 and b = 2
we can find the angle[lets say x] b/w longer side and diagonal as tan x = 2/40
hence suff

stmnt2 = shorter side is 2 and area is 80 so longer side is 40
again we can find the angle
hence suff
Re: M22 Q24   [#permalink] 18 Jan 2010, 19:43
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M22 Q24

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