document.write( "Question 60817: The perimeter of a rectangle is 66m. If the width were doubled and the length were increased by 22m, the perimeter would be 136m. What are the length and width of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #41783 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 2L+2W=66 THEN 2L=66-2W AND \n" ); document.write( "2(L+22)+2(2W)=136 SUBSTITUTING (66-2W) THEN \n" ); document.write( "2L+44+4W=136 \n" ); document.write( "(66-2W)+44+4W=136 \n" ); document.write( "66-2W+44+4W=136 \n" ); document.write( "2W=136-66-44 \n" ); document.write( "2W=26 \n" ); document.write( "W=26/2 \n" ); document.write( "W=13 SOLUTION THEN \n" ); document.write( "2L=66-2*13 \n" ); document.write( "2L=66-26 \n" ); document.write( "2L=40 SOLUTION \n" ); document.write( "L=40/2 \n" ); document.write( "L=20 \n" ); document.write( "PROOF \n" ); document.write( "2(20+22)+2(2*13)=136 \n" ); document.write( "2*42+2*26=136 \n" ); document.write( "84+52=136 \n" ); document.write( "136=136 \n" ); document.write( " \n" ); document.write( " |