Question 934855

sides are in same ratio as angles: {{{2:3}}}

{{{a:b=2:3}}}=> solve for {{{a}}}

{{{3a=2b}}}

{{{a=2b/3}}}

 perimeter is {{{P=80cm }}}

{{{80cm=2a+2b}}} ...substitute  {{{2b/3}}} for {{{a}}}

{{{80cm=2(2b/3)+2b}}}

{{{80cm=4b/3+6b/3}}}

{{{80cm=10b/3}}}

{{{240cm=10b}}}

{{{highlight(b=24cm)}}}

now find {{{a}}}

{{{a=(2*24cm)/3}}}

{{{a=48cm/3}}}

{{{highlight(a=16cm)}}}