Question 28069
{{{a^2+b^2=36}}}
Perimeter must = 14

14-6=8


so you know that
{{{a+b=8}}} and {{{a+b+c=14}}}
and 
{{{8^2-6^2=a^2}}}
{{{28=a^2}}}
a=5.2

so {{{b=8-5.2}}}
b=2.8


And {{{5.2^2+2.8^2=34.88}}} 
5.2+2.8+6=14


Area = (base*height)/2


Area={{{(5.2*2.8)/2}}}
Area = 15 (rounded)


Hence, the area is 15 unit squared.
Paul.