Question 1060933
The formula for perimeter of a rectangle , {{{ P }}}, is:
{{{ P = 2L + 2W }}}
{{{ L }}} = length
{{{ W }}} = width
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given:
{{{ P = 210 }}} ft
{{{ L = W + 10 }}}
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{{{ 210 = 2L + 2W }}}
{{{ 210 = 2*( W + 10 ) + 2W }}} ( this is the required equation )
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solution:
{{{ 210 = 2W + 20 + 2W }}}
{{{ 4W = 190 }}}
{{{ W = 47.5 }}}
and
{{{ L = W + 10 }}}
{{{ L = 47.5 + 10 }}}
{{{ L = 57.5 }}}
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check:
{{{ 210 = 2L + 2W }}}
{{{ 210 = 2*57.5 + 2*47.5 }}}
{{{ 210 = 115 + 95 }}}
{{{ 210 = 210 }}}
OK