Question 844245
The formula for the circumference is:
{{{ C = 2L + 2W }}}
given:
{{{ L = W + 50 }}}
{{{ C = 540 }}} ft
------------------
{{{ 540 = 2L + 2W }}}
By substitution:
{{{ 540 = 2*( W + 50 ) + 2W }}}
{{{ 540 = 2W + 100 + 2W }}}
{{{ 540 = 4W + 100 }}}
{{{ 4W = 440 }}}
{{{ W = 110 }}} ft
and
{{{ L = W + 50 }}}
{{{ L = 160 }}} ft
The width is 110 ft and
the length is 160 ft
check:
{{{ C = 2L + 2W }}}
{{{ C = 2*160 + 2*110 }}}
{{{ C = 320 + 220 }}}
{{{ C = 540 }}} ft
OK