document.write( "Question 70282: A room is 1.5 times long as it is wide and its perimeter is 25 meters. find the dimension of the room? \n" ); document.write( "
Algebra.Com's Answer #50120 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Two equations are required.\r \n" ); document.write( "\n" ); document.write( "You know that the perimeter of a rectangle is given by adding a length, a width, another length, \n" ); document.write( "and another width to get the perimeter.\r \n" ); document.write( "\n" ); document.write( "Let L represent the Length, W represent the Width, and P represent the Perimeter of the \n" ); document.write( "rectangle. With this notation, the equation for the perimeter of the rectangle is: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "This simplifies to: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "The problem gives the perimeter as 25 meters. Substitute this: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "The problem also says that the length is 1.5 times the width. In equation form, this is: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Substitute this in place of L in the perimeter equation: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Multiply out the first term on the right side: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "and combine the two terms on the right side to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Divide both sides by 5 and you find that \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "And since the length is 1.5 times as long, the length is: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Check it. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "The answer checks. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |