In order to prevent anyone from falling over the sides, a new railing needs to be installed. How many linear feet of railing are needed to line both sides of the walkway? (Round your final answer to 1 decimalplace and any intermediate calculations to 2 decimal places. Be sure to include units.)

322.9 ft

Step-by-step explanation:

See attachment for the diagram

ro: radius of outer circle

ri: radius of inner circle

Length of inner railing= circumference of inner semi-circle+ twice of inner horizontal sides

Length of inner railing= ri+ 2×(70- ro)

                                    = × 45/2+ 2×(70-65/2)

                                   =145.71 ft

Lenth of outer railing= circumference of outer semi-circle+ twice of outer horizontal sides

                                  = ro+ 2×(70- ro)

                                  = × (65/2) + 2×(70-65/2)

                                  =177.14ft

Total length of railing =177.14+145.71

                                   = 322.85ft