The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 14√2 cm
Area of square = Diagonal2/2
Diagonal of square1 = 14 cm (Given)
Area of square1 = 142/2 = 98cm2
Although Area of Square2 is double than that of Square1 i.e 98 × 2 = 196cm2
Area of Square2 = Diagonal2/2
196 = Diagonal2/2
Diagonal2 = 392
Diagonal = √396 = 14√2 cm.