Description for Correct answer:
Let length of the rectangular field = 7x m

and breadth of the rectangular field = 2x m

According to the question,

Area of rectangular field = \( \Large Length\times Breadth \)

=> 3584 = \( \Large 7x\times 2x \)

=> \( \Large 14x^{2} \) = 3584 => \( \Large x^{2} \) = \( \Large \frac{3584}{14} \) = 256

=> \( \Large x^{2} \)=256 => x=16m

Length of rectangular field

= \( \Large 7\times 16 \) = 112 m

and breadth of rectangular field

= \( \Large 2\times 16 \)= 32 m

Perimeter of rectangle = 2 (Length + Breadth)

= 2(112+ 32)=\( \Large 2\times 144 \)=288m .