Question

Area of a square is 1/2 hectare.the diagonal of the square is

Answer 1

we know that 1 hectare =10000 metre square

So area of square=1/2*10,000 =5000 sq m

let side of square be a

We know area of square=a x a=a$^{2}$

$a^{2} =5000=(50 )^{2} \\So a=50[tex]\sqrt{2}$ metre\\[/tex]

we know that angles of a square are 90 degree

So by pythagoras theorem

$^{2} +side^{2} =diagonal^{2} \\2(50\sqrt{2} )^{2} diagonal^{2} \\diagonal^{2}  =2x 5000=10000=100^{2} \\diagonal=100 metre\\Hope this helps :)$side