Airport Hangar (AR Modeling Challenge)

In this GeoGebra Augmented Reality Modeling Challenge, the goal is to reconstruct the roof of this Lego airport hangar by authoring 2 surface equations with domain restrictions. [br][br][b]Modeling Clues: [/b][br][br]1) In the screencast below, the planes [i]x[/i] = 0 and [i]y[/i] = 0 serve as planes of symmetry for this object . [br][br]2) See info in the picture. These are actual measurements. [br][br]2) The slant edge (that measures 47 cm) would need to be extended[br] another 120 cm to meet the plane [i]x[/i] = 0. [br][br]3) For the scale used here in this GeoGebra AR coordinate system, the line containing the points (0,0,5) & [br] (0, 1, 5) serves as the line where the [b][color=#1e84cc]2 blue planes[/color][/b], if extended upward, would eventually meet. [br][br]4) The width of the [b][color=#ff00ff]top rectangular piece[/color][/b] is obviously 80 cm * 2 = 160 cm. [br] The length of this [b][color=#ff00ff]rectangle[/color][/b] is 284 cm.
Quick (Silent) Demo

Information: Airport Hangar (AR Modeling Challenge)