(B) for me

1 vertex is at (-1,-2) and the sides are parallel to the axes implies that 2 sides are supported by the lines x=-1 and y=-2.

To calculate the perimeter, we need to konw either:

> the diagonally opposed vertex to (-1,-2) (Basically, the point to know has to be on a x different from -1 and on a y different from -2)

or

> 2 vertices : one on x=-1 and one on y=-2

Otherwise, we remain with a fluctuating size for 2 sides of the rectangle.

From 1
(2,-2) is on the same line y=-2. We miss 1 point to conclude. (Fig 1)

INSUFF

From 2
(2,3) is neither on x=-1 nor on y=-2. Bingo. (Fig 2)

SUFF.

Attachments

Fig1_Stat1_1 vertex at 2,-2.gif [ 2.52 KiB | Viewed 884 times ]

Fig2_Stat2_1 vertex at 2,3.gif [ 2.55 KiB | Viewed 905 times ]