Question 1136015


The perimeter of a rectangle is:{{{P=2(L+W)}}}

given: {{{P=64cm}}}

=>{{{2(L+W)=64cm}}}....eq.1

the length is {{{4cm}}} less than {{{twice}}} the width:

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


{{{2(2W-4cm+W)=64cm}}}....eq.1


{{{4W-8cm+2W=64cm}}}

{{{6W=64cm+8cm}}}

{{{6W=72cm}}}

{{{W=72cm/6}}}

{{{W=12cm}}}


go to eq.2


{{{L=2W-4cm}}}...eq.2...plug in {{{W}}}

{{{L=2*12cm-4cm}}}

{{{L=24cm-4cm}}}

{{{L=20cm}}}