document.write( "Question 1166618: The perimeter of a rectangle is 48 cm and its area is 135 cm^2. Find the length and the breadth/width of the rectangle.\r
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Algebra.Com's Answer #791127 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " L + W = 48/2 = 24 cm\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " L*W = 135 cm^2, or\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " w*(24-W) = 135\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 24W - W^2 = 135\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " W^2 - 24W + 135 = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Factor left side\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (W-15)*(W-9) = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "There are two roots, W = 15 and W = 9.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The dimensions of the rectangle are 9 cm (the width) and 15 cm (the length). ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see million of similar solved problems, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Problems on the area and the dimensions of a rectangle\r \n" ); document.write( "\n" ); document.write( " - Three methods to find the dimensions of a rectangle when its perimeter and the area are given\r \n" ); document.write( "\n" ); document.write( " - Three methods to find the dimensions of a rectangle when its area and the difference of two dimensions are given \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 online textbook under the topic \n" ); document.write( "\"Dimensions and the area of rectangles and circles and their elements\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |