document.write( "Question 253220: the width of a rectangle is 5 meters less than its length. the area is 84 square meters. find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #185468 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! This problem could be in word problems geometry or quadratic equations. \n" ); document.write( "Area=L*W \n" ); document.write( "W=L-5 \n" ); document.write( "substitute L-5 for W \n" ); document.write( "84=L*(L-5) \n" ); document.write( "84=L^2-5L \n" ); document.write( "L^2-5L-84=0 \n" ); document.write( "we ant factors of 84 with a difference of 5 \n" ); document.write( "1,84 \n" ); document.write( "2,42=6*7=3*2*7 \n" ); document.write( "3,14 \n" ); document.write( "4,21 \n" ); document.write( "6,14 \n" ); document.write( "7,12\r \n" ); document.write( "\n" ); document.write( "7 and 12 will do \n" ); document.write( "We want the larger number to be negative \n" ); document.write( "(L-12)(L+7)=0 \n" ); document.write( "L=12 since a rectangle can't have a negative size of 7\r \n" ); document.write( "\n" ); document.write( "W=L-5=7 \n" ); document.write( " \n" ); document.write( " |