document.write( "Question 213483: Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 6 more square feet than the smaller. What is the width of the rectangles? \n" ); document.write( "
Algebra.Com's Answer #161436 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two rectangles have the same width. \n" ); document.write( "let w = width of both rectangles \n" ); document.write( ": \n" ); document.write( "The length of one is 1 foot longer than the width. \n" ); document.write( "L1 = w + 1\r \n" ); document.write( "\n" ); document.write( " The length of the other is 2 feet longer than the width. \n" ); document.write( "L2 = w + 2 \n" ); document.write( "; \n" ); document.write( "The larger rectangle has 6 more square feet than the smaller. \n" ); document.write( "W*L2 - W*L1 = 6 \n" ); document.write( ": \n" ); document.write( "What is the width of the rectangles? \n" ); document.write( "Replace L2 in the above equation with (W+2); \n" ); document.write( "Replace L1 in the above equation with ((W+1) \n" ); document.write( "W*(W+2) - W*(W+1) = 6 \n" ); document.write( "W^2 + 2W - W^2 - W = 6 \n" ); document.write( "2W - W = 6 \n" ); document.write( "W = 6 is the width of both rectangles \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( "8*6 - 7*6 = 6 \n" ); document.write( " |