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A company is redesigning the outside entrance to their corporate headquarters. The entrance is the shape of a trapezoid. The height (h) is 18 m. The large base (b₁) has a length of 35 m, and a small base (b₂) has a length of 25 m. The management wants to construct a fountain in the center of the entrance in the shape of a regular hexagon with the sides (s) having a length of 5 m and an apothem (a) with a length of approximately 4.33 m. The construction manager is preparing to order the concrete to pour walk area around the fountain. This area is shaded in the figure. the Find the area of the shaded region in the figure to the right. Round the solution to the nearest square meter. A = m b₂ b₁ S

A company is redesigning the outside entrance to their corporate headquarters. The entrance is the shape of a trapezoid. The height (h) is 18 m. The large base (b₁) has a length of 35 m, and a small base (b₂) has a length of 25 m. The management wants to construct a fountain in the center of the entrance in the shape of a regular hexagon with the sides (s) having a length of 5 m and an apothem (a) with a length of approximately 4.33 m. The construction manager is preparing to order the concrete to pour walk area around the fountain. This area is shaded in the figure. the Find the area of the shaded region in the figure to the right. Round the solution to the nearest square meter. A = m b₂ b₁ S

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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I have an area composite figures geometry problem. 

A company is redesigning the outside entrance to their corporate headquarters. The entrance is the shape of a trapezoid. The height (h) is 18 m. The large base (b₁) has a length of 35 m, and a small base (b₂) has a length of 25 m. The management wants to construct a fountain in the center of the entrance in the shape of a regular hexagon with the sides (s) having a length of 5 m and an apothem (a) with a length of approximately 4.33 m. The construction manager is preparing to order the concrete to pour walk area around the fountain. This area is shaded in the figure. the Find the area of the shaded region in the figure to the right. Round the solution to the nearest square meter. A = m b₂ b₁ S
Transcribed Image Text:A company is redesigning the outside entrance to their corporate headquarters. The entrance is the shape of a trapezoid. The height (h) is 18 m. The large base (b₁) has a length of 35 m, and a small base (b₂) has a length of 25 m. The management wants to construct a fountain in the center of the entrance in the shape of a regular hexagon with the sides (s) having a length of 5 m and an apothem (a) with a length of approximately 4.33 m. The construction manager is preparing to order the concrete to pour walk area around the fountain. This area is shaded in the figure. the Find the area of the shaded region in the figure to the right. Round the solution to the nearest square meter. A = m b₂ b₁ S
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