Question

if diagonal of square is double then find area of square

Answer 1

as square is a rhombus whose diagonals are equal, area of square = 1/2*d square.
if diagonal is doubled then area becomes 1/2*4*d square
hence area will increase 4 times if diagonal is doubled

Answer 2

Let, side of square be a
Then diagonal will be aroot 2
Area : a²
If diagonal becomes 2aroot 2
Then side = 2a
Area : (2a) ² : 4a²
Therefor area will be 4 times if diagonal is doubled


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