document.write( "Question 1049572: Cynthia Besch wants to buy a rug for a room that is 14 ft wide and 29 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 250 square feet of carpeting. What dimensions should the rug have? \n" ); document.write( "
Algebra.Com's Answer #665158 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Cynthia Besch wants to buy a rug for a room that is 14 ft wide and 29 ft long. \n" ); document.write( "She wants to leave a uniform strip of floor around the rug. She can afford to buy 250 square feet of carpeting. \n" ); document.write( "What dimensions should the rug have? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let me show you another way of solving, without quadratic equations.\r\n" ); document.write( "\r\n" ); document.write( "Notice that the difference \"the length - the width\" is 29-14 = 15 ft.\r\n" ); document.write( "\r\n" ); document.write( "Since there is a uniform strip of floor around the rug, the difference of dimensions of the rug is the same, 15 ft.\r\n" ); document.write( "\r\n" ); document.write( "Thus you need to determine the dimensions that have the difference of 15 and the product of 250 (square feet).\r\n" ); document.write( "\r\n" ); document.write( "Can you guess them? - But of course, 25 x 10.\r\n" ); document.write( "\r\n" ); document.write( "Answer. The rug should be 25 X 10 ft.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "But if you want to know how to solve similar problems WITH equations, see the lesson\r \n" ); document.write( "\n" ); document.write( " - Problems on the area and the dimensions of a rectangle surrounded by a strip\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this textbook.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |