Question 556037
Let {{{ n }}} = the number of posts used when they are 2 m apart
There has to be a post at each end
so, the number of spaces between posts
is 1 less than the number of posts
given:
width = {{{ ( n - 1)*2 }}} m
width = {{{ ( n - 3 - 1 )*3 }}} m
{{{ ( n - 1 )*2 = ( n - 4 )*3 }}}
{{{ 2n - 2 = 3n - 12 }}}
{{{ n = 12 - 2 }}}
{{{ n = 10 }}}
and
width = {{{ ( n - 1 )*2 }}}
width = {{{ ( 10 - 1 )*2 }}}
width = {{{ 18 }}}
The width of the property is 18 m
check:
{{{ ( n - 1 )*2 = ( n - 4 )*3 }}}
{{{ ( 10 - 1 )*2 = ( 10 - 4 )*3 }}}
{{{ 18 = 18 }}}
OK