Question 421259
The formula for perimeter is:
{{{ P = 2w + 2l }}}
given:
{{{l = w + 32 }}}
{{{ P = 104 }}}
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By substitution:
{{{ 104 = 2w + 2i }}}
{{{ 104 = 2w + 2*( w + 32) }}}
{{{ 104 = 2w + 2w + 64 }}}
{{{4w = 40 }}}
{{{ w = 10 }}}
and
{{{l = w + 32}}}
{{{l = 10 + 32}}}
{{{l = 42}}}
The width is 10 and the length is 42
check answer:
{{{ P = 2w + 2l }}}
{{{ 104 = 2*10 + 2*42 }}}
{{{104 = 20 + 84 }}}
{{{104 = 104}}}
OK