document.write( "Question 237155: A book case is to have four shelves including the top. The height of the book case is to be 4.25 feet more than the width. Find the width and height of the book case if only 31 feet of lumber is available. \n" ); document.write( "
Algebra.Com's Answer #174415 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 2(4.25+x)+4x=31 \n" ); document.write( "8.5+2x+4x=31 \n" ); document.write( "2x+4x=31-8.5 \n" ); document.write( "6x=22.5 \n" ); document.write( "x=22.5/6 \n" ); document.write( "x=3.75 ft. is the width. \n" ); document.write( "4.25+3.75=8 ft is the height. \n" ); document.write( "Proof: \n" ); document.write( "2(4.25+3.75)+4*3.75=31 \n" ); document.write( "2*8+15=31 \n" ); document.write( "16+15=31 \n" ); document.write( "31=31 \n" ); document.write( " |