The consequent membership functions of a three$-$rule single$-$input single$-$output fuzzy reasoning system are specified by TrapMF$($y$,[$ai$,$bi$,$ci$,$di$])=$ max$[$min$(($y$-$ai$)/($bi$-$ai$),1,($di$-$y$)/($di$-$ci$)),0]$ for rules $1$ and $3$ such that $[$a$1,$b$1,$c$1,$d$1]=[0,2,4,6],[$a$3,$b$3,$c$3,$d$3]=[6,8,11\mathrm{.}9,11\mathrm{.}9+2],$ and TriMF$($y$,[$ai$,$bi$,$ci$])=$ max$[$min$(($y$-$ai$)/($bi$-$ai$),($ci$-$y$)/($ci bi$)),0]$ for rule $2$ such that $[$a$2,$b$2,$c$2]=[4,6,8].$ Show MATLAB code for the step$-$by$-$step calculation of the area and the centroid of area of each of the consequent membership functions. Submit the sum of the three centroids of areas $($rounded to $4$ decimal places$)$