Marissa has a wool rug that has the shape of a regular octagon in her living room. The diameter of the incircle of the rug measures 7 feet approximately. Which of the following is the approximate measure of one of the sides of wool rug? A.2.9 feetB. 3.5 festC. 3.7 feetD. 4.1 feet

Accepted Solution

We know that the diameter of the inner circle (d) and the side of a regular octagon (s) are tied by the formula:

d = (1 +√2) × s

The inverse formula is:

s = d / (1 +√2)

Plugging in numbers:
s = 7 (1 + √2)
   = 2.9 ft

Therefore the correct answer is A) 2.9 feet