Question 115262



The length {{{a}}} of a piece of sheet metal is {{{twice}}} the width {{{b}}}; then, {{{a = 2b}}} 

The {{{difference}}} in length and width is {{{20 in}}}: 
{{{a-b = 20in}}}

 the dimensions are:

{{{a = 2b}}} ………………………………………………………….(1)

{{{a-b = 20in}}}………………………………………………………(2)….solve this linear system by substitution

Substitute (1) in (2)

{{{2b -b = 20in}}}

{{{b = 20in}}}………...................the width is {{{20in}}}

now find the length {{{a}}}

{{{a = 2b}}}

{{{a = 2*20in}}}

{{{a = 40in}}}..............the length is {{{40in}}}