sachin_yadav wrote:What is the perimeter of rectangle R?
(1) R is a square.
(2) The area of R is 36.
Target question: What is the perimeter of rectangle R?
Statement 1: R is a square
Since R can be a square of ANY SIZE, then
it can have ANY perimeter.
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Aside: A square is a TYPE of rectangle
Statement 2: The area of R is 36
There are MANY rectangles that satisfy this condition. Here are two:
Case a: rectangle R could have height 6 and width 6 (so the area is 36), in which case
the perimeter is 24
Case b: rectangle R could have height 3 and width 12 (so the area is 36), in which case
the perimeter is 30
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that R is a square
Statement 2 tells us that this SQUARE has area 36
There's ONLY ONE square in the universe that has area 36, and that's a square in which all sides have length 6. If all sides have length 6, then
the perimeter of R is 24
Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer =
C
Cheers,
Brent
