Question

the area of square us 625cm2 find length of its side and diagonal

Answer 1

Area of square  = Side x Side
625 = side x side
Side of the square = 25 cm

Length of diagonal in a square= √2Side = √2 x 25 = 25√2 cm

Answer 2

To find one side of a square when given the area is the square root of the area.
√625=25.
Therefore, the length of one side of the square is 25cm.
Using Pythagoras theorem,
a²+b²=c²
25²+25²=(1250)
∴the length of the diagonal is √1250=25√2