A geometry problem by Syed Hamza Khalid

Geometry Level 3

From each corner of a parallelogram, draw two line segments to connect the corner to the midpoints of the opposite sides. These eight line segments bound an octagon.

What is the ratio of the octagon’s area to the parallelogram’s area?

Details and assumptions

→ \to The diagram is not drawn to scale.

→ \to There is no specific length, so just follow the instructions.

1 5 \huge \frac{1}{5} 1 6 \huge \frac{1}{6} 1 8 \huge \frac{1}{8} 1 9 \huge \frac{1}{9} 1 7 \huge \frac{1}{7}

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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