Question

The area of the Square field is 1/2 of hectare. Find the length of its diagonal in metres. plz, explain.........

Answer 1

Let the length of each side of square = sNow, area of square = 0.5 ha = 5000 m2 [as 1 ha = 10000 m2]Now, s2 = 5000⇒s = 5000−−−−√ = 502√ mNow, length of the diagonal = 2√s = 50×2√×2√ = 100 m

Answer 2

Given that Area of the square field = 1/2 of hectare

                                                           = 0.5 hectare (1 hectare = 10000m^2)

                                                           = 0.5 * 10000m^2

                                                           = 5000m^2.


We know that Area of Square = s^2

              s^2 = 5000

             $s = 50 \sqrt{2}$



We know that Diagonal of square = $\sqrt{2} * s$

                                                         = $\sqrt{2} * 50 \sqrt{2}$

                                                         = 2 * 50

                                                         = 100m.



Hope this helps!