Question 1205429

The perimeter of a rectangular wooden deck is {{{90}}} feet,

{{{P=2(L+W)}}}
{{{90=2(L+W)}}}...eq.1

 if the deck's length, {{{L}}}, is {{{5 }}}feet less than {{{4}}} times its width, {{{W}}}, we have

{{{L=4W-5}}}...eq.2, substitute in eq.1

{{{90=2(4W-5+W)}}}...eq.1

{{{45=(5W-5)}}}

{{{45+5=5W}}}

{{{50=5W}}}

{{{W=10}}}


go to


{{{L=4W-5}}}...eq.2, substitute {{{W}}}

{{{L=4*10-5}}}

{{{L=40-5}}}

{{{L=35}}}


the dimensions of the wooden deck are:

the length is {{{35ft}}}

the width is {{{10ft}}}