document.write( "Question 451215: The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Fine the dimensions of the original rectangle \n" ); document.write( "
Algebra.Com's Answer #310313 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Fine the dimensions of the original rectangle \n" ); document.write( ".. \n" ); document.write( "let x=original length=2y \n" ); document.write( "let y=original width \n" ); document.write( "length increased by 4=x+4 \n" ); document.write( "width deminished by 1=y-1 \n" ); document.write( "Perimeter=2*length+2*width=198 \n" ); document.write( "2(x+4)+2(y-1)=198 \n" ); document.write( "2x+8+2y-2=198 \n" ); document.write( "substitute x for 2y \n" ); document.write( "2x+8+x-2=198 \n" ); document.write( "3x=192 \n" ); document.write( "x=64 inches \n" ); document.write( "y=x/2=64/2=32 inches \n" ); document.write( "Ans: \n" ); document.write( "Dimensions of original triangle: 64 by 32 inches \n" ); document.write( " |