5. A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. a. If one side of a gazebo is open and the other sides have a railing, find the cost of the railing if it sells for S7.90 per foot. b. Find the area of the gazebo. c. Find the cost of the gazebo's flooring if it costs $3 per square foot. Round to the nearest hundred dollars.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Gazebo Geometry Problem

A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet.

#### Part a: Cost of the Railing
If one side of the gazebo is open and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot.

#### Part b: Area of the Gazebo
Find the area of the gazebo.

#### Part c: Cost of the Gazebo's Flooring
Find the cost of the gazebo's flooring if it costs $3 per square foot. Round to the nearest hundred dollars.
Transcribed Image Text:### Gazebo Geometry Problem A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. #### Part a: Cost of the Railing If one side of the gazebo is open and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot. #### Part b: Area of the Gazebo Find the area of the gazebo. #### Part c: Cost of the Gazebo's Flooring Find the cost of the gazebo's flooring if it costs $3 per square foot. Round to the nearest hundred dollars.
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