Question

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

Answer 1

Answer:

70.71

Step-by-step explanation:

hectare to sq meter = 10000

sq root 50000

Answer 2

Answer:

100

Step-by-step explanation:

1 hectare = 10000 sq m

1/2 hectare = 5000 sq m

Area = side^2 = 1/2 hectare = 5000

taking under root at LHS and RHS

side = $10\sqrt{50}$

to find the length of the diagonal:

using Pythagoras theorem as 2 sides of square and diagonal makes a right angle triangle. diagonal being the hypotenuse.

$a^{2} = side^{2} + side^{2}$

$a = \sqrt{side^{2} + side^{2} }$

diagonal = $\sqrt{(10\sqrt{50} )^{2} + (10\sqrt{50} )^{2} }$

               = $\sqrt{10000}$ = 100 meters