Question

the area of a square field is 1/2 hectare. find the length of its diagonal in metres​

Answer 1

Answer:

50√2

Step-by-step explanation:

area of square =0.5 hec

1 hec =100m^2

so 0.5 hectare = 50m^2

hence area of square =50m^2

side^2=50m^2

now diagnol^2=side^2+side^2

=50^2+50^2

= 2500+2500

=5000

so diagnol=√5000

=50√2m

Answer 2

Answer:

Step-by-step explanation:

Let the length of each side of square be 's'.

Now, the area of the square = 1/2 of hectare = 0.5 hectare

1 hectare = 10000 sq m

So, 0.5 hectare = 5000 sq m

Now,

Side × Side = 5000 sq m

Side = √5000

Side = 50√2 m

Length of the diagonal of square = √2s

= 50 × √2 × √2

= 50 × 2

Length of diagonal of square = 100 m