Question

the area of square field is 0.5 hectare.find the length of its diagonal in meters

Answer 1

Solution :

1 hectare =10000m2=10000m2

∴0.5hec=5000m2∴0.5hec=5000m2

Applying Pythagoras theorem

1212(diagonal)2=5000(diagonal)2=5000

(diagonal)2=5000×2(diagonal)2=5000×2

(d)2=10,000(d)2=10,000

d=10000−−−−−√d=10000

d=100md=100m

Answer : 100

Answer 2

area of field = 0.5 hectare = 5000 m^2
⇒ side of field = 50√2
∵ diagonal = side(√2)
∴ diagonal = 50(√2)(√2) = 100m (ANS)