SOLUTION: What is the area of the sketch after she removed the triangles and square? Emily sketched an octagonal window on a 27 inch square piece of paper. First she cut 4 identical isoscele

Question 1002942: What is the area of the sketch after she removed the triangles and square? Emily sketched an octagonal window on a 27 inch square piece of paper. First she cut 4 identical isosceles triangles from the corners of the paper. Then she cut a square from the center of the octagon. Each leg of a cut-off triangle is 1/3 the length of the paper. The side length of the cut-out square is also 1/3 length of paper.
729-144=585
The correct answer is 486 please show me how?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What is the area of the sketch after she removed the triangles and square? Emily sketched an octagonal window on a 27 inch square piece of paper. First she cut 4 identical isosceles triangles from the corners of the paper. Then she cut a square from the center of the octagon. Each leg of a cut-off triangle is 1/3 the length of the paper. The side length of the cut-out square is also 1/3 length of paper.
729-144=585
The correct answer is 486 please show me how?
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Each of the 4 triangles has an area of 9*9/2 --> 162 sq in for the 4 of them.
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The square removed is 9*9 = 81 sq in
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162 + 81 = 243
729 - 243 = 486 sq inches
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