Question

7. If the area of the outer square is 4x², then the area of the inner square is

(a) x²/2
(b) x²
(c) √2x²
(d) 2x²
(e) 2√2x²

Answer 1

Area of Outer Square = 4x^2 so side will be 2x and 2x is diameter of inner circle and that is also diagonal of of inner square.
As per formula A=d^2/2 and we know that d = 2x so (2x)^2/2 that is 2x^2
Answer is D