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18. The area of a regular polygon is 36 in.?. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth. а. 3 36x4 , , 9.|I,A=a.1 in a = 83.14, J85.14 1. b. 4 J36 a= 6in c. 6 36 x2, a= 13,856, J13.856, 3.722, A = 3.7 in A = d. Select Techniques to Solve Problems (1)(C) Suppose the polygon is a pentagon. What would you expect the length of a side to be? Explain.

18. The area of a regular polygon is 36 in.?. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth. а. 3 36x4 , , 9.|I,A=a.1 in a = 83.14, J85.14 1. b. 4 J36 a= 6in c. 6 36 x2, a= 13,856, J13.856, 3.722, A = 3.7 in A = d. Select Techniques to Solve Problems (1)(C) Suppose the polygon is a pentagon. What would you expect the length of a side to be? Explain.

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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Please solve #18 - d. Please show steps.
15. Apply Mathematics (1)(A) The gazebo in the photo is built in the shape of a regular octagon. Each side is 8 ft long, and the enclosed area is 310.4 ft2. What is the length of the apothem? -> 16. Apply Mathematics (1)(A) One of the smallest space satellites ever developed has the shape of a pyramid. Each of the four faces of the pyramid is an equilateral triangle with sides about 13 cm long. What is the area of one equilateral triangular face of the satellite? Round your answer to the nearest whole number. A=13cm 17. A regular hexagon has perimeter 120 m. Find its area. 18. The area of a regular polygon is 36 in.?. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearèst tenth. 36x4 a. 3 a = 83.14, J85.14 9.11A=a.1 in b. 4 36 a = 6in C. 6 36 x2 a = 13,856, Ji3.856, 3.722, A = 3.7 in A = G d. Select Techniques to Solve Problems (1)(C) Suppose the polygon is a pentagon. What would you expect the length of a side to be? Explain. 19. A portion of a regular decagon has radii and an apothem drawn. Find the measure of each numbered angle. m LI = 36 mL2=18 mL3 =72 1 12) 20. Explain Mathematical Ideas (1)(G) Explain why the radius of a regular polygon is greater than the apothem. The apothem is one leg of a L Is the hypotenuse. Find the area of each composite figure. Assume that all parts of figures shown are regular polygons and that figures that are the same shape are congruent. implost radical form.
Transcribed Image Text:15. Apply Mathematics (1)(A) The gazebo in the photo is built in the shape of a regular octagon. Each side is 8 ft long, and the enclosed area is 310.4 ft2. What is the length of the apothem? -> 16. Apply Mathematics (1)(A) One of the smallest space satellites ever developed has the shape of a pyramid. Each of the four faces of the pyramid is an equilateral triangle with sides about 13 cm long. What is the area of one equilateral triangular face of the satellite? Round your answer to the nearest whole number. A=13cm 17. A regular hexagon has perimeter 120 m. Find its area. 18. The area of a regular polygon is 36 in.?. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearèst tenth. 36x4 a. 3 a = 83.14, J85.14 9.11A=a.1 in b. 4 36 a = 6in C. 6 36 x2 a = 13,856, Ji3.856, 3.722, A = 3.7 in A = G d. Select Techniques to Solve Problems (1)(C) Suppose the polygon is a pentagon. What would you expect the length of a side to be? Explain. 19. A portion of a regular decagon has radii and an apothem drawn. Find the measure of each numbered angle. m LI = 36 mL2=18 mL3 =72 1 12) 20. Explain Mathematical Ideas (1)(G) Explain why the radius of a regular polygon is greater than the apothem. The apothem is one leg of a L Is the hypotenuse. Find the area of each composite figure. Assume that all parts of figures shown are regular polygons and that figures that are the same shape are congruent. implost radical form.
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