Tough one-Plz. help

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gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 amFollowed by: 1 member; Thanked: 3 times

by gmat009 » Wed Oct 01, 2008 9:24 pm

In the xy-plane, the sides of a certain rectangle are parallel to the axes. If one of the
vertices of the rectangle is (-1,-2), what is the perimeter of the rectangle?
(1) One of the vertices of the rectangle is (2, -2).
(2) One of the vertices of the rectangle is (2, 3).
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

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Source: Beat The GMAT — Data Sufficiency | Wed Oct 01, 2008 9:24 pm

rdxb: Senior | Next Rank: 100 Posts; Posts: 32; Joined: Tue Aug 05, 2008 4:09 am

by rdxb » Thu Oct 02, 2008 12:04 am

IMO , statement 2 would be sufficient, answer would be B

Here, we have a rectangle , whose
1) Axes are // to the x,y axes
2) one of the vertices is given > -1,-2

option a) would give us the length of one side of the rectangle, as we already know that -2 is a coordinate .This is not going to help us find the diagonally opposite vertice.

B) Gives us the diagonally opposite vertice i.e 2,3
so we can now find all 4 vertices , which would be (-1,-2) , (-1,3) , (2,3) , (2,-2) , and hence find the perimeter

We oughtta make a rough sketch on paper to understand what i mean to say.

Wats the OA?

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gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 amFollowed by: 1 member; Thanked: 3 times

by gmat009 » Thu Oct 02, 2008 8:00 am

rdxb wrote:IMO , statement 2 would be sufficient, answer would be B

Here, we have a rectangle , whose
1) Axes are // to the x,y axes
2) one of the vertices is given > -1,-2

option a) would give us the length of one side of the rectangle, as we already know that -2 is a coordinate .This is not going to help us find the diagonally opposite vertice.

B) Gives us the diagonally opposite vertice i.e 2,3
so we can now find all 4 vertices , which would be (-1,-2) , (-1,3) , (2,3) , (2,-2) , and hence find the perimeter

We oughtta make a rough sketch on paper to understand what i mean to say.

Wats the OA?

OA is B. Thanks

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