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Find the area of the following regular polygons. Round all answers to nearest 10th. 13. 14. 15. 12 1.3

Find the area of the following regular polygons. Round all answers to nearest 10th. 13. 14. 15. 12 1.3

Elementary Geometry For College Students, 7e
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
Problem 1CT
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Find the area of the following regular polygons.  Round all answers to nearest 10th.

--- ## Finding the Area of Regular Polygons In this exercise, we are tasked with finding the area of the following regular polygons and rounding all answers to the nearest tenth. ### Problem 13: A regular hexagon is shown with a side length indicated as 12 units. ### Problem 14: A regular triangle (equilateral triangle) is shown with a side length indicated as 7 units. ### Problem 15: A square is shown with a side length indicated as 1.3 units. For each of these problems, use the appropriate formula for the area of the corresponding regular polygon: 1. **Hexagon (six sides):** \(\text{Area} = \frac{3\sqrt{3}}{2} s^2\) 2. **Triangle (three sides):** \(\text{Area} = \frac{\sqrt{3}}{4} s^2\) 3. **Square (four sides):** \(\text{Area} = s^2\) where \(s\) represents the side length of the polygon. Round your answers to the nearest tenth. --- By solving these exercises, you will deepen your understanding of calculating the area for different types of regular polygons.
Transcribed Image Text:--- ## Finding the Area of Regular Polygons In this exercise, we are tasked with finding the area of the following regular polygons and rounding all answers to the nearest tenth. ### Problem 13: A regular hexagon is shown with a side length indicated as 12 units. ### Problem 14: A regular triangle (equilateral triangle) is shown with a side length indicated as 7 units. ### Problem 15: A square is shown with a side length indicated as 1.3 units. For each of these problems, use the appropriate formula for the area of the corresponding regular polygon: 1. **Hexagon (six sides):** \(\text{Area} = \frac{3\sqrt{3}}{2} s^2\) 2. **Triangle (three sides):** \(\text{Area} = \frac{\sqrt{3}}{4} s^2\) 3. **Square (four sides):** \(\text{Area} = s^2\) where \(s\) represents the side length of the polygon. Round your answers to the nearest tenth. --- By solving these exercises, you will deepen your understanding of calculating the area for different types of regular polygons.
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