The area of a square field is 0.5 hectare. The length of its diagonal is
(a) 150m (b) 100√2m (b) 100m (b) 50√2m
Correct option is (b). 100m
We know that, 1 hectare =10,000m2
Therefore, Area of square field =0.5×10,000=5000m2
If a is the side of the square, then,
⇒a2=5000
⇒a2=2500×2
∴a=50√2m
Now, diagonal of a square is a√2
Therefore, diagonal of the field =50√2×√2=100m