The diagram shows a square PQRS. A second square UVWX is drawn inside it, where U divides side PQ in the ratio 1:2. Similarly, a third square is drawn inside UVWX with its side divided in the same ratio. What fraction of the area of PQRS is shaded?
A. 25/81 B. 16/49 C. 4/9 D. 40/81 E. 2/3
A
The area of the innermost square is derived from a proportional reduction through subsequent squares, giving a shaded area of 25/81 of the original.
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