Question 970539

The three sides of a triangle are in the ratio {{{2:4:5}}}. 
let sides be {{{a}}},{{{b}}}, and {{{c}}},then  {{{a:b:c=2:4:5}}}


 and let {{{a}}} be  the shortest side
if the shortest side of the triangle is {{{a=4m}}} long, then {{{a:b=2:4}}}

{{{4m:b=2:4}}}

{{{2b=4*4m}}}
{{{b=4*4m/2}}}
{{{b=2*4m}}}
{{{b=8m}}}
{{{a:c=2:5}}}
{{{2c=5*4m}}}
{{{c=5*4m/2}}}
{{{c=5*2m}}}
{{{c=10m}}}


and  the perimeter will be: {{{P=a+b+c=4m+8m+10m=22m}}}

so, answer is:[B] {{{22m}}}