Question 524047
If {{{w}}} is the width and {{{h}}} is the height,
The perimeter of a rectangle is
{{{ P = 2h + 2w }}}
given:
{{{ w = 3h - 8 }}}
{{{ P = 272 }}}
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By substitution:
{{{ 272 = 2h + 2*(3h - 8) }}}
{{{ 272 = 2h + 6h - 16 }}}
{{{ 8h = 272 + 16 }}}
{{{ 8h = 288 }}}
{{{ h = 36 }}}
and, since
{{{ w = 3h - 8 }}}
{{{ w = 3*36 - 8 }}}
{{{ w = 108 - 8 }}}
{{{ w = 100 }}}
The width is 100 and the height is 36 
check:
{{{ P = 2h + 2w }}}
{{{ 272 = 2*36 + 2*100 }}}
{{{ 272 = 72 + 200 }}}
{{{ 272 = 272 }}}
OK