The area of a square is 0.5 hectare. The length of its diagonal is

Question

Options a)100m
b)50m
c)250m

Answer 1

Option a)100

Answer 2

Option a)100 m

Answer 3

Length of the diagonal of a square:

d = sqroot ( a^ 2 + a ^ 2 ) = sqroot ( 2 a ^ 2 ) = sqroot ( 2 ) * a

The area of a square is A = a ^ 2

So a = sqroot ( A )

1 hectare = 10,000 m ^ 2

0.5 hectare = 5,000 m ^ 2

a = sqroot ( A ) =

sqroot ( 5,000 ) =

sqroot ( 50 * 100 ) =

sqroot ( 50 ) * sqroot ( 100 ) =

sqroot ( 50 ) * 10 meters

d = sqroot ( 2 ) * a

d = sqroot ( 2 ) * sqroot ( 50 ) * 10 =

sqroot ( 2 * 50 ) * 10 =

sqroot ( 100 ) * 10 =

10 * 10 = 100 meters