Question 1151543

let the length be {{{L}}} and the width {{{W}}}

if he length of a rectangular garden is {{{8 }}}feet {{{longer}}} than its width, we have

{{{L=W+8ft}}}........eq.1

If the garden's perimeter is {{{188}}} feet, we have
{{{2(L+W)=188ft}}}

 {{{L+W=94ft}}}.......eq.2

substitute {{{L}}}

 {{{W+8ft+W=94ft}}}

{{{2W=94ft-8ft}}}

{{{2W=86ft}}}

{{{W=43ft}}}

now find {{{L}}}

{{{L=43ft+8ft}}}........eq.1

{{{L=51ft}}}

 the area of the garden is:

{{{A=L*W}}}

{{{A=51ft*43ft}}}

{{{A=2193ft^2}}}