document.write( "Question 869986: The area of a trapezium is 364-5 sq.m.Its parallel sides are in the ratio 5:4.If perpendicular distance between parallel lines (sides) is 27m, then the bigger parallel side will be: \n" ); document.write( "
Algebra.Com's Answer #524624 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Area of trapezium = 364.5\r \n" ); document.write( "\n" ); document.write( "let smaller side be x \n" ); document.write( "and bigger side be y \n" ); document.write( "x/y = 5/4 \n" ); document.write( "let the common multiple be k\r \n" ); document.write( "\n" ); document.write( "x=5k \n" ); document.write( "y=4k\r \n" ); document.write( "\n" ); document.write( "Area = (1/2)(5k+4k)*27\r \n" ); document.write( "\n" ); document.write( "364.5=(1/2)(5k+4k)*27\r \n" ); document.write( "\n" ); document.write( "multiply by 2 \n" ); document.write( "729=(5k+4k)*27 \n" ); document.write( "/27 \n" ); document.write( "729/27 =9k \n" ); document.write( "729/(27*9) =k\r \n" ); document.write( "\n" ); document.write( "k=3 \n" ); document.write( "larger side = 5*3=15m \n" ); document.write( " |