The area of rectangular plot is 2400 square metres and its length is one one by two times to its breadth what is the perimeter

Dear Student,

Given:
length = $\frac{1}{2}\times breadth$
=>  breadth = 2 x length
Area of Rectangle = 2400 m² 
And we know, Area of rectangle = length x breadth
                       2400 = length x 2 x length
                      2400  = 2 x  length² 
                       $\frac{2400}{2}$ = length²
                          1200 =  length² 
=>   length² = 1200
=> length = $\sqrt{1200}$ ( on taking square root on both the sides) ​​​​
=> length = $20\sqrt{3}$
then,  breadth = 2 x length

breadth = 2 x $20\sqrt{3}$
breadth = $40\sqrt{3}$
and we know Perimeter of rectangle = 2 (length+breadth)
                                                          = 2 ($20\sqrt{3}$+$40\sqrt{3}$)
                                                          = 2 x 60 $\sqrt{3}$
                                                          = 120$\sqrt{3}$ m

Regards