Question 446184
Let the length of the longer piece = {{{a}}}
The length of the shorter piece  = {{{ (1/2)*a }}}
given:
{{{ a + (1/2)*a = 15 }}}
Multiply both sides by {{{2}}}
{{{ 2a + a = 30 }}}
{{{ 3a = 30 }}}
{{{ a = 10 }}}
{{{(1/2)*a = 5 }}}
The longer piece is 10 m