Is PR=QS

[GmatKiss]

The figure above shows four pieces of tile that have been glued together to form a square tile ABCD. Is PR=QS?

(1) BQ = CR = DS = AP
(2) The perimeter of ABCD is 16.

IMO: A

[parul9]

IMO E.
What's the OA?

[shankar.ashwin]

A IMO

From 1) if BQ = CR = DS = AP . The angle subtended by both the lines to the side of the square would be the same. Hence their lengths would be the same. Also we aren't asked the length, but we can say PQ=RS - Suff

2) Perimeter is given, can't infer anything about PQ and RS. - Insuff

[vaibhavgupta]

A IMO

From 1) if BQ = CR = DS = AP . The angle subtended by both the lines to the side of the square would be the same. Hence their lengths would be the same. Also we aren't asked the length, but we can say PQ=RS - Suff

2) Perimeter is given, can't infer anything about PQ and RS. - Insuff

Could u please explain the 1st one a little bit more?
i dont think i know this concept :/

[HSPA]

problem gets simplified if you consider PQRS as mid points of sides of ABCD.

IMO A

[neelgandham]

A IMO

From 1) if BQ = CR = DS = AP . The angle subtended by both the lines to the side of the square would be the same. Hence their lengths would be the same. Also we aren't asked the length, but we can say PQ=RS - Suff

2) Perimeter is given, can't infer anything about PQ and RS. - Insuff

Could u please explain the 1st one a little bit more?
i dont think i know this concept :/

From the diagram in the attachment the lines PQ and RS are diagonals to rectangles of similar dimensions (Width=A-2X, Length =A), where A = side of the square and X = BQ = CR = DS = AP

[vaibhavgupta]

A IMO

From 1) if BQ = CR = DS = AP . The angle subtended by both the lines to the side of the square would be the same. Hence their lengths would be the same. Also we aren't asked the length, but we can say PQ=RS - Suff

2) Perimeter is given, can't infer anything about PQ and RS. - Insuff

Could u please explain the 1st one a little bit more?
i dont think i know this concept :/

From the diagram in the attachment the lines PQ and RS are diagonals to rectangles of similar dimensions (Width=A-2X, Length =A), where A = side of the square and X = BQ = CR = DS = AP

Thanks. From this we can get A.. But i doubt if i will be able to come up with this in the real exam

[neelgandham]

A IMO

From 1) if BQ = CR = DS = AP . The angle subtended by both the lines to the side of the square would be the same. Hence their lengths would be the same. Also we aren't asked the length, but we can say PQ=RS - Suff

2) Perimeter is given, can't infer anything about PQ and RS. - Insuff

Could u please explain the 1st one a little bit more?
i dont think i know this concept :/

From the diagram in the attachment the lines PQ and RS are diagonals to rectangles of similar dimensions (Width=A-2X, Length =A), where A = side of the square and X = BQ = CR = DS = AP

Thanks. From this we can get A.. But i doubt if i will be able to come up with this in the real exam

Though it looks really messy and lengthy, it isn't.

Another approach:
BQ = CR = DS = AP = 0, => PQ and RS are diagonals and equal
BQ = CR = DS = AP = 0.5*side of the square , => PQ = RS = Side of the square and equal
Hence Sufficient !

[vaibhavgupta]

This is something i can keep in Mind! thanks a ton!