A stop sign is a regular octagon with a side length of 12.8 inches. The area of the stop sign is 790 in². What is the total height of the stop sign? Enter your answer in the box below. Round your answer to the nearest tenth. The height of the stop sign is inches.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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### Geometry Problem: Calculating the Height of a Stop Sign

A stop sign is a regular octagon with a side length of 12.8 inches. The area of the stop sign is given as \( 790 \, \text{in}^2 \).

**Question:**
What is the total height of the stop sign? Enter your answer in the box below. Round your answer to the nearest tenth.

**Answer Form:**
The height of the stop sign is __________ inches.

In solving this problem, students should use the properties of regular octagons to find the height using the given side length and area. Remember that the height of a regular octagon can also be related to its side length through geometric formulas.
Transcribed Image Text:### Geometry Problem: Calculating the Height of a Stop Sign A stop sign is a regular octagon with a side length of 12.8 inches. The area of the stop sign is given as \( 790 \, \text{in}^2 \). **Question:** What is the total height of the stop sign? Enter your answer in the box below. Round your answer to the nearest tenth. **Answer Form:** The height of the stop sign is __________ inches. In solving this problem, students should use the properties of regular octagons to find the height using the given side length and area. Remember that the height of a regular octagon can also be related to its side length through geometric formulas.
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