Question 1046553
The formula for perimeter is:
{{{ P = 2L + 2W }}}
where
{{{ L = length }}}
{{{ W = width }}}
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given:
{{{ L = 3W - 4 }}}
Plug this into above formula:
{{{ P = 2*( 3W - 4 ) + 2W }}}
{{{ P = 6W - 8 + 2W }}}
{{{ P = 8W - 8 }}}
You are given that {{{ P = 88 }}} ft
{{{ 88 = 8W - 8 }}}
Divide both sides by {{{ 8 }}}
{{{ 11 = W - 1 }}}
{{{ W = 12 }}}
and
{{{ L = 3W - 4 }}}
{{{ L = 3*12 - 4 }}}
{{{ L = 36 - 4 }}}
{{{ L = 32 }}}
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The yard is 32 x 12
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check:
{{{ P = 2L + 2W }}}
{{{ P = 2*32 + 2*12 }}}
{{{ P = 64 + 24 }}}
{{{ P = 88 }}}
OK