Question

# A square is of area $$200\ sq.m.$$ A new square is formed in such a way that the length of its diagonal is $$\sqrt{2}$$ times of the diagonal of the given square. Then the area of the new square formed is

A
2002 sq.m
B
4002 sq.m
C
400 sq.m
D
800 sq.m

Solution

## The correct option is C $$400\ sq.m$$According to question,Side lenght  of square=$$\sqrt{200}=10\sqrt2m$$So, lenght of its diagonal  $$=10\sqrt2\times \sqrt2=20m$$Length of diagonal of new square $$=20\times \sqrt2m$$So, side length of new square $$=\dfrac{20\sqrt2}{\sqrt2}=20m$$Hence, area of new square  $$=20m\times20m=400m^2$$Maths

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