document.write( "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.\r
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document.write( "729-144=585\r
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document.write( "The correct answer is 486 please show me how? \n" );
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Algebra.Com's Answer #619796 by Alan3354(69443)![]() ![]() 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.\r \n" ); document.write( "\n" ); document.write( "729-144=585\r \n" ); document.write( "\n" ); document.write( "The correct answer is 486 please show me how? \n" ); document.write( "--------- \n" ); document.write( "Each of the 4 triangles has an area of 9*9/2 --> 162 sq in for the 4 of them. \n" ); document.write( "---- \n" ); document.write( "The square removed is 9*9 = 81 sq in \n" ); document.write( "--- \n" ); document.write( "162 + 81 = 243 \n" ); document.write( "729 - 243 = 486 sq inches \n" ); document.write( " |