Question: Imagine a wire with length one yard placed between the origin (0,0) and the point (1,0) on the x-axis. You cut the wire at a

Imagine a wire with length one yard placed between the origin (0,0) and the point (1,0) on the x-axis. You cut the wire at a random point X chosen with uniform distribution U(0,1) and build two squares whose perimeters are the two pieces of wire. What is the expected value of the sum of the areas of the two squares?

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