Question 949568
if the perimeter of a rectangular swimming pool is {{{76m}}}, means {{{2(L+W)=76m}}} 

if the length {{{L}}} is {{{6m}}} more than its width{{{W}}}, then we have

{{{L=W+6m}}}...substitute in {{{2(L+W)=76m}}} 

{{{2(W+6m+W)=76m}}} ...sole for {{{W}}}

{{{(W+6m+W)=76m/2}}}

{{{2W+6m =38m}}}

{{{2W =38m-6m}}}

{{{2W =32m}}}

{{{W =32m/2}}}

{{{highlight(W =16m)}}}

now find {{{L}}}

{{{L=16m+6m}}}

{{{highlight(L=22m)}}}

so, the dimensions of the swimming pool are: 
{{{highlight(L=22m)}}} and {{{highlight(W =16m)}}}