Divide rectangle into three figures

Answer each of following questions.

(1) As shown in Fig. 1, when rectangle ABCD was divided into three figures, the area of three figures became the same.

Find the length of EF at this time.

Answer

(2) As shown in Fig. 2, when rectangle ABCD was divided into three figures, the area of three figures and the length of the circumference of three figures became the same, respectively.

Find the length of EG at this time.