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Answer :

Answer:

The unknown dimension is 35

Step-by-step explanation:

The perimeter of a rectangle is l+l+w+w or 2l+2w (l=length, w=width)

[tex]l+l+w+w=84[/tex]

[tex]7+7+w+w=84[/tex]

[tex]14+w+w=84[/tex]

then we subtract 14 from 84

[tex]w+w=70[/tex]

[tex]2w=70[/tex]

[tex]\frac{70}{2}=35[/tex]

[tex]w=35[/tex]

Let's check our answer

[tex]35+35+7+7=84[/tex]

Hope this helps :-)