Answer:
a=1.5, b= 3
Step-by-step explanation:
sum of all sides will give us perimeter. Therefore
2a+b+6a+2b+1+4a=28
12a+3b+1=28
12a+3b=27....eqn1
since t two sides of this isosceles triangle are equal:
2a+b=4a
2a=b
[tex]a=\frac{b}{2}[/tex]
substituting [tex]\frac{b}{2}[/tex][tex].[/tex] in the first equation whenever we encounter a we will have:
[tex]12(\frac{b}{2})+3b=27\\[/tex]
6b+3b=27
9b=27
b=3
therefore [tex]a= \frac{b}{2} =\frac{3}{2} =1\frac{1}{2} or 1.5[/tex]