Parallelogram Octagon

Geometry Level 3

From each corner of a parallelogram draw two line segments to connect the corners to the midpoints of the opposite sides. These eight lines segments bound an octagon. What is the ratio of the octagon'a area to the parallelogram area?

1 : 4 1:4 1 : 16 1:16 1 : 6 1:6 1 : 8 1:8

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