Geometry
# Composite Figures

The figure below shows a parallelogram with an area of 1. The green points are midpoints of two adjacent sides.

What is the sum of the blue areas?

Which area is larger?

Construct a square on each side of a triangle with side lengths 3, 4, and 5. Then, construct a hexagon by joining the vertices of the squares which are not vertices of the 3-4-5 triangle.

Find the area of this hexagon.

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