BTGmoderatorDC wrote:A rectangle has sides x and y and diagonal z. What is the perimeter of the rectangle?
(1) x - y = 7.
(2) z = 13.
OA C
Source: Princeton Review
Always look for special triangles such as 3-4-5 and 5-12-13.
Statement 2:
Case 1:
Case 2:
Since each case will yield a different perimeter, INSUFFICIENT.
Statement 1:
Case 1:
Case 3:
Since each case will yield a different perimeter, INSUFFICIENT.
Statements combined:
Since only a 5-12-13 triangle has both legs with a difference of 7 and a hypotenuse of 13, only Case 1 is viable:
Thus, the perimeter of the rectangle can be determined.
SUFFICIENT.
The correct answer is
C.
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