Question 1010741
The formula for perimeter is:
{{{ P = 2L + 2W }}}
You are given:
{{{ L = 3W }}}
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Substitute this for {{{ L }}} in
the formula for perimeter
{{{ P = 2*(3W) + 2W }}}
{{{ P = 6W + 2W }}}
{{{ P = 8W }}}
You are also given {{{ P = 48 }}} m
{{{ 48 = 8W }}}
Divide both sides by {{{ 8 }}}
{{{ W = 6 }}}
and
{{{ L = 3W }}}
{{{ L = 3*6 }}}
{{{ L = 18 }}}
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The width is 6 m and the length is 18 m
check:
{{{ P = 2L + 2W }}}
{{{ 48 = 2*18 + 2*6 }}}
{{{ 48 = 36 + 12 }}}
{{{ 48 = 48 }}}