Question 1046471

The perimeter of the rectangle is {{{P=2L+2W}}}

if {{{P=54}}}, the length is {{{L=x+4}}} and the width is {{{W=2(x-5)}}}, we have

{{{2(x+4)+2(2(x-5))=54}}}......both sides divide by {{{2}}}

{{{(x+4)+(2(x-5))=27}}}

{{{x+4+2x-10=27}}}

{{{3x-6=27}}}

{{{3x=27+6}}}

{{{3x=33}}}

{{{x=33/3}}}

{{{x=11}}}

so, the length is {{{L=x+4=11+4=highlight(15)}}} and the width is {{{W=2(x-5)=2(11-5)=2*6=highlight(12)}}}