Worksheet: Parallel and Perpendicular Planes

and are two parallel planes, and , , and are drawn to intersect the plane at the points , , and , respectively, and the plane at the points , , and , respectively, where the point doesn’t belong to any of the planes. Given that , , , and , determine the area of the .

and are two parallel planes, where is a point between the two planes. Two straight lines are drawn from the point such that one intersects the planes and at points and respectively, and the other intersects the planes and at points and respectively. If and the surface area of , find the surface area of .