# 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

Given:

length = $\frac{1}{2}\times breadth$

=> breadth = 2 x length

Area of Rectangle = 2400 m

^{2}

And we know, Area of rectangle = length x breadth

2400 = length x 2 x length

2400 = 2 x length

^{2}

$\frac{2400}{2}$ = length

^{2 }1200 =

^{ }length

^{2}

=> length

^{2}= 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

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