1985 AJHSME Problem 12

A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.2 \text{ cm}, 8.3 \text{ cm} and 9.5 \text{ cm}. The area of the square is

\textbf{(A)}\ 24\text{ cm}^2 \qquad \textbf{(B)}\ 36\text{ cm}^2 \qquad \textbf{(C)}\ 48\text{ cm}^2 \qquad \textbf{(D)}\ 64\text{ cm}^2 \qquad \textbf{(E)}\ 144\text{ cm}^2

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.