Question 864642
I can call the width of the pool {{{ w }} and
the length {{{ 2w }}}
The walkway adds {{{ 2 }}} ft to each side, so
{{{ ( w + 2 + 2 )*( 2w + 2 + 2 ) = w*2w + 196 }}}
{{{ ( w + 4 )*( 2w + 4 ) = 2w^2 + 196 }}}
{{{ 2w^2 + 8w + 4w + 16 = 2w^2 + 196 }}}
{{{ 12w + 16 = 196 }}}
{{{ 12w = 180 }}}
{{{ w = 15 }}}
{{{ 2w = 30 }}}
The dimensions of the pool are 15 ft x 30 ft
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check:
{{{ ( w + 2 + 2 )*( 2w + 2 + 2 ) = w*2w + 196 }}}
{{{ ( 15 + 2 + 2 )*( 30 + 2 + 2 ) = 450 + 196 }}}
{{{ 19*34 = 646 }}}
{{{ 646 = 646 }}}
OK