The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 16 meters and its length is 2 meters more than twice its width.

What is its length?

Let us assume the width of the rectangle = x meters

Then

Length of the rectangle = 2x + 2

Perimeter of the rectangle = 16 meters

Then

Perimeter = 2 (Length + width)

16 = 2 (2x + 2 + x)

16 = 2 (3x + 2)

16 = 6x + 4

6x = 16 - 4

6x = 12

x = 2

Then

Length of the side of the rectangle = 2x + 2

= (2 * 2) + 2

= 6

I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.