Perimeter of the rectangle = 96 meters.

Step-by-step explanation:

Let the width of the rectangle = K

So, the length of the rectangle = 5K

Area = 320 sq meters

Now, Area of a Rectangle = Length x Width

⇒ 320 = K x 5K

or,

So, the vlue of K = 8 or, K = -8

But as K represents a length hence, K ≠ -8

So, the width of the rectangle = 8 meters

and the length of the rectangle = 8 x 5 = 40 meters

Now, Perimeter = 2(length + width)

= 2(8 + 40) = 96 meters.

So, the perimeter of the rectangle = 96 meters.

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