\(P = 186\ см;\ \ a = 32\ см.\)
\[b = P\ :2 - a = 186\ :2 - 32 = 93 - 32 = 61\ см.\]
\[S = ab = 32 \cdot 61 = 1952\ см^{2}.\]
\[Ответ:1952\ см^{2};\ \ 61\ см.\]