The area of square is 100m2. A new square is inscribed in such a way that the length of its diagonal is \(\sqrt {2}\) times of the given square. Then the area of the new square formed is?
Answer & explanation
Correct answer: option 2
Area of square = 100 m2
side of square = 10 m
diagonal of square = \(10\sqrt {2}\)
Diagonal of new square = \(\sqrt {2}(10\sqrt {2})m = 20 m\)
side of new square = \(\frac{20}{\sqrt {2}}=\frac{20\sqrt {2}}{2}=10\sqrt {2}m\)
Area of new square = \((10\sqrt {2})^2=100×2=200m^2\)