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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?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 8P
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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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