Find the perimeter of the rectangle
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The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
l - length
w - width
We have:
[tex]l=2x-3,\ w=x+4[/tex]
Substitute:
[tex]P=2(2x-3+x+4)=2(3x+1)\\\\_{\text{use distributive property}}\\\\=(2)(3x)+(2)(1)=\boxed{6x+2}[/tex]