On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures.

A.
6.00cm^{2} 
B.
6.10cm^{2} 
C.
6cmv 
D.
6.09cm^{2} 
E.
4.00cm^{2}
Correct Answer: Option B
Explanation
Area of the paper = area of square = L x B or S^{2}
where s = S x k
Area of the paper = (2.524)^{2}
area of the diagram = (0.524)^{2}
area not covered = (2.524)^{2} – (0.524)^{2}
= 6.370576 – 0.274576
= 6.096
= 6.10cm^{2} (2 s.f)