The area of a triangular field whose sides are 96 m, 110 m, and 146 m is equal to the area of a rectangular park whosesides are in the ratio 3 : 2. What is the perimeter(in m ) ofthe rectangular park?

A

$$80\sqrt{5}$$

B

$$40\sqrt{55}$$

C

$$20\sqrt{55}$$

D

$$40\sqrt{11}$$