Respuesta :

The perimeter of rectangle is 100.

The formula for the perimeter of rectangle is

[tex]P=2(l+w)[/tex]

The length of the rectangle is 2x-8 and width of the rectangle is x+4.

The perimeter is

[tex]100=2(2x-8+x+4)[/tex][tex]50=3x-4[/tex][tex]3x=54[/tex][tex]x=18[/tex]

Hence the value of x is 18.

The length is

[tex]2\times18-8=36-8=28[/tex]

The width is

[tex]18+4=22[/tex]

The correct options are 22 and 28.