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Emily made a sketch of an octagonal window on a 27-inch square piece of paper. First she cut four identical isosceles triangles from the corners of the paper. Then she cut a square from the center of the octagon. Each leg of a 27 in. cut-off triangle is - the length of the paper. The side length of the cut-out 27 in. square is also the length of the paper. What is the area of the sketch after she removed the triangles and the square?

Emily made a sketch of an octagonal window on a 27-inch square piece of paper. First she cut four identical isosceles triangles from the corners of the paper. Then she cut a square from the center of the octagon. Each leg of a 27 in. cut-off triangle is - the length of the paper. The side length of the cut-out 27 in. square is also the length of the paper. What is the area of the sketch after she removed the triangles and the square?

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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Solve. Show your work. 15 Emily made a sketch of an octagonal window on a 27-inch square piece of paper. First she cut four identical isosceles triangles from the corners of the paper. Then she cut a square from the center of the octagon. Each leg of a 27 in. cut-off triangle is the length of the paper. The side length of the cut-out 27 in. 3 square is also - the length of the paper. What is the area of the sketch after she removed the triangles and the square? -|-- 15. 486 in?
Transcribed Image Text:Solve. Show your work. 15 Emily made a sketch of an octagonal window on a 27-inch square piece of paper. First she cut four identical isosceles triangles from the corners of the paper. Then she cut a square from the center of the octagon. Each leg of a 27 in. cut-off triangle is the length of the paper. The side length of the cut-out 27 in. 3 square is also - the length of the paper. What is the area of the sketch after she removed the triangles and the square? -|-- 15. 486 in?
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