document.write( "Question 1031701: The base of a particular parallelogram is 4 times its height. If the base and height are doubled, the new area is 972 square inches greater than the
\n" );
document.write( "area of the original parallelogram. Find the base and height of the original parallelogram. \n" );
document.write( "
Algebra.Com's Answer #646389 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The base of a particular parallelogram is 4 times its height.\r \n" ); document.write( "\n" ); document.write( "Area = b * h\r \n" ); document.write( "\n" ); document.write( "b=4h\r \n" ); document.write( "\n" ); document.write( "Area = 4h*h = 4h^2\r \n" ); document.write( "\n" ); document.write( "the new height = 2h \n" ); document.write( "and new base = 8h\r \n" ); document.write( "\n" ); document.write( "Area = 16h^2\r \n" ); document.write( "\n" ); document.write( "16h^2 = 4h^2 +972\r \n" ); document.write( "\n" ); document.write( "12h^2 = 972 \n" ); document.write( "h^2= 81\r \n" ); document.write( "\n" ); document.write( "h= 9 taking positive value\r \n" ); document.write( "\n" ); document.write( "height = 9 in \n" ); document.write( "and base = 9*4 = 36 in\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |