Dean needs 60 inches of wood to build a rectangular picture frame. The length, l, of the frame is twice its width, w. Three of these equations give the correct value for w. Which equation does NOT? 2⋅(2w+w)=60 w+2w+w+2w=60
2⋅w+2⋅2w=60 w+2w=60

Respuesta :

Option A,B and C are correct.

Step-by-step explanation:

Perimeter = 60 inches

Width = w

length = 2w

Finding the equation:

The formula of perimeter of rectangle is:

[tex]Perimeter=2(length+width)[/tex]

Putting values:

[tex]Perimeter=2(length+width)\\60=2(2w+w)[/tex]

So, the options that give the correct value of w are:

2.(2w+w) = 60 Simplifying: 4w+2w=60

w+2w+w+2w=60 Simplifying: 4w+2w=60

2⋅w+2⋅2w=60 Simplifying: 4w+2w=60

The last Option w+2w=60 is incorrect.

So, Option A,B and C are correct.

Keywords: Perimeter of rectangle

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