The shaded fraction is 1/5. The parallel lines connecting vertices and opposite midpoints are perpendicular, dividing the square into five congruent smaller squares by geometric dissection, making the central shaded square exactly one-fifth of the total area.
Class 9 Maths Ganita Manjari Part 2 Book and Solutions
Class 9 Maths Ganita Manjari Part 2 Chapter 12 Quadrilaterals Question Answer
The shaded region forms a square that is 1/5 of the total area. Each pair of parallel segments has slopes 1/2 and -2, making them perpendicular. By the Midpoint Theorem and congruent right triangles, the surrounding four corner regions can be disassembled and rearranged into four squares identical to the central shaded square. Thus, the entire square equals five identical squares, leaving 1/5 shaded.
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