Question

If the perimeter of the regular decagon shown above is 136 1/4 inches, what is the length of each side?

A. 13 5/8 inches
B. 15 5/36 inches
C. 17 1/32 inches
D. 11 17/48 inches

Answer 1

Answer: Choice A. 13 & 5/8 inches

Ideally you should always post the diagram to help us see the entire problem; however, the diagram is not needed in this case because we are told the figure is regular decagon. So there are 10 sides and each side is the same length. If each side is x inches long, then the perimeter is 10x inches.

10x = 136 & 1/4

10x = 136 + 1/4

10x = 136 + 0.25

10x = 136.25

x = 136.25/10

x = 13.625

x = 13 + 0.625

x = 13 + 625/1000

x = 13 + 5/8

x = 13 & 5/8