Question 635826

you are given:

a perimeter of a standard rectangular highway billboard sign {{{P=124ft}}}

The length {{{L}}} is {{{6ft}}} more than {{{three}}}{{{ times}}} the width {{{W}}}, which means {{{L=3W+6ft}}}

The equation for perimeter is: {{{P = 2L + 2W}}} or {{{P = 2(L + W)}}}

{{{124ft= 2(L + W)}}}.....substitute {{{L}}} with {{{3W+6ft}}}

{{{124ft = 2(3W+6ft+ W)}}} 


{{{124ft/2= 4W+6ft}}} 

{{{62ft-6ft= 4W}}} 

{{{56ft= 4W}}}

{{{56ft/4= W}}}

{{{highlight(14ft= W)}}}...now find {{{L}}}

{{{L=3W+6ft}}}

{{{L=3*14ft+6ft}}}

{{{L=42ft+6ft}}}

{{{highlight(L=48ft)}}}

check:


{{{124ft = 2(L+ W)}}} 


{{{124ft = 2(48ft+14ft)}}} 


{{{124ft = 2(62ft)}}}

{{{124ft = 124ft}}}