document.write( "Question 61952: The length of a rectangle is 4 cm less that three times its width. If the length is increased by 8 cm and the width is decreased by 2 cm, the perimeter will be 100 cm. Find the dimensions of the orifinal rectangle. \n" ); document.write( "
Algebra.Com's Answer #42683 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The length of a rectangle is 4 cm less that three times its width. If the length is increased by 8 cm and the width is decreased by 2 cm, the perimeter will be 100 cm. Find the dimensions of the orifinal rectangle. \n" ); document.write( "--------------- \n" ); document.write( "Old Dimensions: \n" ); document.write( "width=x \n" ); document.write( "length = 3x-4 \n" ); document.write( "------------------ \n" ); document.write( "New Dimensions: \n" ); document.write( "width = x-2 \n" ); document.write( "length = 3x-4+8=3x+4 \n" ); document.write( "--------- \n" ); document.write( "EQUATIOn: \n" ); document.write( "Using new dimensions 2(length + width) = 100 cm \n" ); document.write( "2(x-2+3x+4)=100 \n" ); document.write( "4x+2=50 \n" ); document.write( "4x=48 \n" ); document.write( "x=12 \n" ); document.write( "--------- \n" ); document.write( "Old width was 12 cm \n" ); document.write( "Old length was 3(12)-4=32 cm \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |