Question 786834
The dimensions of the fence will be:
{{{ 16 + 2x }}} by {{{ 20 + 2x }}}
The perimeter, {{{ P }}} is:
{{{ P = 2*( 16 + 2x ) + 2*( 20 + 2x ) }}}
{{{ P = 32 + 4x + 40 + 4x }}}
{{{ P = 8x + 72 }}}
You are given that {{{ P = 154 }}} ft
{{{ 8x + 72 = 154 }}}
{{{ 8x = 82 }}}
{{{ x = 10.25 }}}
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check:
{{{ P = 2*( 16 + 2x ) + 2*( 20 + 2x ) }}}
{{{ 154 = 2*( 16 + 2*10.25 ) + 2*( 20 + 2*10.25 ) }}}
{{{ 154 = 2*( 16 + 20.5 ) + 2*( 20 + 20.5 ) }}}
{{{ 154 = 2*36.5 + 2*40.5 }}}
{{{ 154 = 73 + 81 }}}
{{{ 154 = 154 }}}
OK