Question

of all rectangles with given area, A, which has the shortest diagonals? = the dimensions of the rectangle are ? by ?.

Answer 1

the square

Answer 2

could you be more specific? in mathematical terms?

Answer 3

well a square with sides 1unit... the diagonal is square root 2

a rectangle sides 1 and (1+x),, x is any length, has a diagonal square root x^2 + 2x + 2 which is larger then root 2