Rectangular prism and triangular pyramid

There is a rectangular prism as shown in a figure.

I is a point on the side FG. AB = 1 cm, AD = 6 cm, AE = 2 cm, GI = 1.5 cm.

The intersection of the plane which passes along the three points A, H, and I, and the side BF is sets to J.

The intersection of the plane which passes along the three points A, H, and I, and the line which extended the side EP is set to K.

Answer

Answer the following questions.

(1) Find the length of FJ and FK.

(2)-1 Draw as correctly as possible the development view of the triangular pyramid which is made by connecting the four points of A, E, H and K.

< Cautions > Triangle AEH is already drawn. Draw not to overflow the frame in which the answer sheet is defined.

(2)-2 Find the area of the quadrangle which is made by connecting the four points A, H, I and J.