Respuesta :

You find the perimeter by adding up all four sides, so it is:

w + w + (2w -1) + (2w -1)

This simplifies to:
6w -2

You know that the perimeter is 28 units, so set the expression equal to 28 and solve:
6w -2 = 28
6w = 30

w=5

Answer with Step-by-step explanation:

Perimeter of rectangle is given by:

Perimeter= 2(Length+width)

Here, Length= 2w-1

Width= w

and Perimeter= 28 units

So, 28= 2(2w-1+w)

28= 2(3w-1)

28= 6w-2

6w= 28+2

i.e. 6w= 30

Dividing both sides by 6, we get

w= 5

Hence, Value of w is:

5 units

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