Question 828061
If {{{ W }}} = width and {{{ L }}} = length,
the formula for perimeter is:
{{{ P = 2W + 2L }}}
-----------------
given:
{{{ P = 80 }}}
{{{ W = (1/3)*L }}}
Substitute these into the formula
{{{ P = 2W + 2L }}}
{{{ 80 = 2*(1/3)*L + 2L }}}
Multiply both sides by {{{ 3 }}}
{{{ 240 = 2L + 6L }}}
{{{ 8L = 240 }}}
{{{ L = 30 }}}
And, since
{{{ W = (1/3)*L }}}
{{{ W = (1/3)*60 }}}
{{{ W = 10 }}}
The width is 10 and the length is 30
check:
{{{ P = 2W + 2L }}}
{{{ 80 = 2*10 + 2*30 }}}
{{{ 80 = 20 + 60 }}}
{{{ 80 = 80 }}}
OK