Question 762490
Let the width = {{{ w }}} cm
The length is {{{ w + 6 }}} cm
Area = ( length ) x ( width ), so
{{{ 88 = w*( w + 6 ) }}}
{{{ w^2 + 6w = 88 }}}
You can complete the square:
{{{ w^2 + 6w + (6/2)^2 = 88 + (6/2)^2 }}}
{{{ w^2 + 6w + 9 = 88 + 9 }}}
{{{ ( w + 3 )^2 = 97 }}}
Take the square root of both sides
{{{ w + 3 = sqrt(97) }}}
{{{ w = sqrt(97) - 3 }}}
{{{ w = 9.8489 - 3 }}}
{{{ w = 6.849 }}}
and
Length = {{{ w + 6 }}}
Length = {{{ 12.849 }}}
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check:
{{{ A = L*W }}}
{{{ 88 = 6.849*12.849 }}}
{{{ 88 = 88.003 }}}
close enough