What is the area of rectangular region R ?

(1) Each diagonal of R has length 5.

(2) The perimeter of R is 14.

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 statement ALONE is sufficient.

EACH statement ALONE is sufficient.

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

##### 考题讲解

（1）  对角线长为5，根据勾股定理有，~$x^2+y^2=25$~，无法确定xy的值。

（2）    长方形的周长为14，即2(x+y)=14，x+y=7，也无法确定xy的值。