How to solve the above problem conceptually and by using substituting numbers methodology?

Try to visualize the image…

It is nothing but 1/2 - 1/16 = 7/16

C…Will explain you the solution tomorrow by drawing properly!

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Choose any value for side of square (4 is a ideal guess as the option contain 16 as a denominator), Now , join point G to C . So, Area of shaded region will be half the area of square minus the triangle GCD .