document.write( "Question 206097: The floor of a hall 252 cm long,162cm wide is paved with equql squares .Find the largest size of marble and number required ,if only whole marbles are used. \n" ); document.write( "
Algebra.Com's Answer #155654 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let's find the factors of each dimension \n" ); document.write( ". \n" ); document.write( "252 factors to 2^2 * 3^2 *7 \n" ); document.write( ". \n" ); document.write( "and 162 factors to 2*3^4 \n" ); document.write( ". \n" ); document.write( "GCF = 2* 3^2 =18 \n" ); document.write( ". \n" ); document.write( "252/18 = 14 pieces......162/18=9 pieces \n" ); document.write( ". \n" ); document.write( "total squares required is 14 *9 =126 \n" ); document.write( ". \n" ); document.write( "check, 18*18=324,,,252*162 = 40824,,,,,40824/324 = 126,,ok \n" ); document.write( " \n" ); document.write( " |