Question 1005985
Let {{{ L }}} = length in ft
Let {{{ W }}} = width in ft
Let {{{ P }}} = perimeter of rug in ft
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The formula for perimeter is:
{{{ P = 2L + 2W }}}
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given:
{{{ L = W + 2 }}}
{{{ P = 40 }}}
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By substitution:
{{{ P = 2*( W + 2 ) + 2W }}}
{{{ P = 2W + 4 + 2W }}}
{{{ P = 4W + 4 }}}
{{{ 40 = 4W + 4 }}}
{{{ 10 = W + 1 }}}
{{{ W = 9 }}}
and
{{{ L = W + 2 }}}
{{{ L = 11 }}}
the rug's dimensions are:
9 x 11
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check:
{{{ P = 2L + 2W }}}
{{{ 40 = 2*11 + 2*9 }}}
{{{ 40 = 22 + 18 }}}
{{{ 40 = 40 }}}
OK