In the figure above, all angles are right angles.

[pds656]

In the figure above, all angles are right angles. If the lengths a, b, u, and v are integers, what is the perimeter of the six-sided figure?

(1) ab = 77

(2) u/v = 3/5

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 one ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

In the solution for this question, it is mentioned that Note that a and b cannot be 1 and 77. If a = 1 then u cannot be an integer; likewise, if b = 1 then v cannot be an integer.
In my opinion, u & v can very well be 0 (since 0 is also an integer). Hence, I chose (c) instead of (a) because statement 2 is required to clarify that u & v aren't 0.

Can anyone clarify?

[RonPurewal]

We're going to need the diagram.

If you don't know how to embed an image directly into your post, you can post it to an image-hosting site, and then post the link here.

Thanks.