Question

If the diagonal of a square is doubled the area of a sqaure become ...how many times

Answer 1

let side of square= a unit.
diagonal = √2a

area of square = a^2 =a×a


now if we double the length of diagonal

diagonal =2×√2a =√2× 2a

means side = 2a

area of new square is (2a)^2= 4a^2

So area of square becomes 4 times.