A catalog has a scale drawing of a floating dock. The dock is a regular octagon attached to a rectangular walkway. The scale dra

Question

2 years ago

11

wing has a scale of 1 inch 4 feet. What is the actual length of a side of the octagon?

1 answer:

gtnhenbr [62] · Answer 1 · 2022-08-25T15:42:10+03:00

Answer: 5 feet.

Step-by-step explanation:

Remember that the lenghts of the sides of a regular octagon are equal.

You can observe in the figure that the lenght of a side of the regular octagon is 1.25 inches.

Let be "s" the actual length of a side of the regular octagon.

Knowing that the scale drawing has a scale of 1 inch 4 feet, you can find the actual lenght of a side of this regular octagon with:

$s=\frac{(1.25in)(4ft)}{(1in)}\\\\s=5ft$

Therefore, the actual length of a side of the octagon is 5 feet.