document.write( "Question 340831: A diagonal drawn through square A is half as long as a diagonal drawn through square B. The area of square B is how many times the area of square A?\r
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document.write( "a 1/4 b 1/2 c 2 d 4 e 8 \n" );
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Algebra.Com's Answer #244270 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A diagonal drawn through square A is half as long as a diagonal drawn through square B. \n" ); document.write( "The area of square B is how many times the area of square A? \n" ); document.write( ": \n" ); document.write( "Establish the relationship between the diagonal and the area \n" ); document.write( "Let x = the diagonal of square A \n" ); document.write( "Let s = the side of square A \n" ); document.write( " s^2 + s^2 = x^2 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "s = \n" ); document.write( "Area = s^2 \n" ); document.write( "A = \n" ); document.write( "A = \n" ); document.write( ": \n" ); document.write( "Let 2x = diagonal of B \n" ); document.write( "Replace x with 2x in the above equation \n" ); document.write( "A = \n" ); document.write( "A = \n" ); document.write( "A = \n" ); document.write( ": \n" ); document.write( "Divide Area of B by the area of A \n" ); document.write( " \n" ); document.write( "2x^2 * \n" ); document.write( "Cancel x^2 \n" ); document.write( "2 * 2 = 4 times area of A is the area of B \n" ); document.write( " \n" ); document.write( " |