Question 1197207


 

 let the length be {{{L}}} and the width {{{W}}}

if  the length is twice its width, we have 

{{{L=2W}}} .......eq.1

if the table  occupies {{{50ft^2}}} of floor space, then

{{{L*W=50ft^2}}}..........eq.2

substitute  {{{L}}} from eq.1

{{{2W*W=50ft^2}}}

{{{W^2=50ft^2/2}}}

{{{W^2=25ft^2}}}

{{{W=sqrt(25ft^2)}}}

{{{W=5ft}}}

go to

{{{L=2W}}} .......eq.1, substitute {{{W}}}

{{{L=2*5ft}}} 

{{{L=10ft}}} 


answer:

the table is {{{ 10ft}}} by  {{{5ft}}}