FIND AREA : (Interesting one)!!

The curve y = 17 - 8 √|x| and the lines x = ± 4 are drawn on a graph paper. The area bounded by these curves and the x-axis is cut out to yield the figure ABCDEFA,where D & F are (±4,0) and E is (0,0). A,B & C are points on the curve with the same abscissa as F,E & D respectively. The paper is folded at 2 places : parallel to the y-axis so that AF & CD touch each other on the y-axis and then folded parallel to the x-axis so that B touches A & C.

1.The joint eguation of the lines where the folds appear is :
(A) x²y = -36 (B) x²y - 36 = 9x² - 4y
(C) x²y + 36 = 9x² + 4y (D) none of these

2. The area of the figure formed after folding the paper is :
(A) 44 - 8√2 (B) (88 - 8√2)/3
(C) (144 - 6√2)/3 (D) (188 - 64√2)/3

3.The area of the portion where the paper thickness is twice the original is :
(A) 12√2 + 2 (B) (36√2 + 4)/3
(C) (64√2 - 36)/3 (D) (60√2 - 32)/3