Answer: [tex]d = 20m[/tex]
Step-by-step explanation:
The formula for calculating the area of square is given by :
Area = [tex]s^{2}[/tex]
where s is the length of a side , that is
200 = [tex]s^{2}[/tex]
Therefore :
[tex]s = \sqrt{200}[/tex]
[tex]s = 10\sqrt{2}[/tex]
Recall that the diagonals of a square meet at right angle , then we can calculate the diagonal by Pythagoras theorem , that is
[tex]d^{2}[/tex] = [tex](\sqrt{10})^{2}[/tex] + [tex](\sqrt{10})^{2}[/tex]
[tex]d^{2} = 200 + 200[/tex]
[tex]d^{2} = 400[/tex]
[tex]d = \sqrt{400}[/tex]
[tex]d = 20m[/tex]
