document.write( "Question 1011960: In (SQUARE SYMBOL - rectangle?) ABCD, P, Q, R, and S are mid-points of the sides. The perimeter of (SQUARE SYMBOL - rectangle?) ABCD is 40, and AC = 17, BD = 17. What is the perimeter of (SQUARE SYMBOL - rectangle?)PQRS.\r
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Algebra.Com's Answer #628091 by ikleyn(52858) You can put this solution on YOUR website! . \n" ); document.write( "Similar problems were solved many times in few days.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer is: 17 + 17 = 34.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The info about 40 is excessive.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The idea of solution is that the points P, Q, R and S are vertices of a parallelogram. \n" ); document.write( "The sides of this parallelogram are mid-lines of triangles based on diagonals, \n" ); document.write( "and their dimensions are half measures of diagonals of the original quadrilateral.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See these lessons in this site:\r \n" ); document.write( "\n" ); document.write( "Midpoints of a quadrilateral are vertices of the parallelogram and\r \n" ); document.write( "\n" ); document.write( "The line segment joining the midpoints of two sides of a triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |