Question 1138794
Let {{{ x }}} = the length in cm
{{{ (3/4)*x }}} = the width in cm
Use formula for perimeter
{{{ 2*( x + 2 ) + 2*( (3/4)*x + 2 ) = 50 }}}
{{{ 2x + 4 + (3/2)*x + 4 = 50 }}}
{{{ ( 7/2 )*x = 42 }}}
{{{ 7x = 84 }}}
{{{ x = 12 }}}
and
{{{ (3/4)*12 = 9 }}}
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Length = 12 cm
Width = 9 cm
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check:
{{{ 2*( 12 + 2 ) + 2*( 9 + 2 ) = 50 }}}
{{{ 28 + 22 = 50 }}}
{{{ 50 = 50 }}}
OK