Question 997800


{{{A=l*w}}}
Length of rectangle {{{5}}} more then width. Area is {{{66}}}. What is length and width? 

{{{L=w+5}}}

{{{66= w(w+5)}}} 

{{{66=w^2+5w}}}

{{{0=w^2+5w-66}}}

 {{{(w+11)(w-6)=0}}}

solutions:

if {{{(w+11)=0}}}=>{{{w=-11}}}=> disregard negative solution because we are looking for the width and it cannot be negative number

if {{{(w-6)=0}}}=> {{{highlight(w=6)}}}

now find the length: {{{L=w+5}}}=>{{{L=6+5}}}=>{{{highlight(L=11)}}}