MATH SOLVE

4 months ago

Q:
# 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

A:

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

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