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lisov135 [29]
3 years ago
11

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

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

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

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.

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