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  1. The diagonal of a square A is (a+b). The diagonal of a square whose area is twice the area of square A, is
    1. 2 (a+b)
    2. 2 (a+b)²
    3. 2(a+b)
    4. 2(a-b)
Correct Option: C

Using Rule 10,

Area of the square A =
(diagonal)²
2

=
(a + b)²
2

Area of the new square =
(a + b)²
× 2 = (a + b)²
2

⇒ Side = (a + b)
∴ Diagonal = √2 × side = √2 (a + b)



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