document.write( "Question 784978: Please help me solve this: A rectangle is 4 times as long as it is wide. If the length is increased by 4 inches and the width is decreased by 1 inch,the area will be 60 square inches. What were the dimensions of the original rectangle? \n" ); document.write( "
Algebra.Com's Answer #477312 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let width be w\r \n" ); document.write( "\n" ); document.write( "length = 4w\r \n" ); document.write( "\n" ); document.write( "length increased by 4=>4w+4\r \n" ); document.write( "\n" ); document.write( "width decreased by 1=>w-1\r \n" ); document.write( "\n" ); document.write( "Area = 60\r \n" ); document.write( "\n" ); document.write( "Area = l*w\r \n" ); document.write( "\n" ); document.write( "(w-1)(4w+4)=60\r \n" ); document.write( "\n" ); document.write( "(w+1)*4(w-1)=60\r \n" ); document.write( "\n" ); document.write( "(w+1)(w-1)=60/4\r \n" ); document.write( "\n" ); document.write( "w^2-1=15\r \n" ); document.write( "\n" ); document.write( "w^2=15+1\r \n" ); document.write( "\n" ); document.write( "w^2=16 \n" ); document.write( "w=+/-4\r \n" ); document.write( "\n" ); document.write( "ignore negative length\r \n" ); document.write( "\n" ); document.write( "w=4 in\r \n" ); document.write( "\n" ); document.write( "length = 4*4 = 16in\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |