Question

The area of a square field is 0.5 hectare . Then find the length of its diagonal.

Answer 1

Given:

Area of square field = 0.5 hectare =5000 m2 (1hectare =10000 m)

To find : diagonal

Diagonal of a square = root 2 *side

Side=root 5000

Diagonal=root2 *root5000

               = root10000

               =100m

Therefore the length of the diagonal is 100m.

Answer 2

Answer:

100 m

Step-by-step explanation:

1 hectare = 10000 sq. m.

So, 0.5 hectare = 10000 *0.5 = 5000 sq.m.

Area of square = $Side ^2$

So, $5000=Side ^2$

$\sqrt{5000}=Side$

$70.7106781187=Side$

Formula of diagonal = $\sqrt{2} a$

where a is the side

So, Length of diagonal =  $\sqrt{2} \times 70.7106781187$

                                      =  $100$

Hence the length of diagonal is 100 m