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 #791132 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "This one is not quite as obvious as the other similar problem (rectangle area 130 with length 3 more than the width; answer length 13, width 10). \n" ); document.write( "However, note in the solution from the other tutor that in solving the problem using formal algebra you have to factor a quadratic equation by finding two numbers whose sum is 24 and whose product is 135. \n" ); document.write( "But that is exactly what the original problem asks you to do -- so the formal algebra doesn't actually get you anywhere towards solving the problem. \n" ); document.write( "You know length plus width is 24; find two numbers with a sum of 24 that have a product of 135. \n" ); document.write( "Obviously one of the numbers has to end in \"5\"; a very little bit of trial and error finds the dimensions to be 15 and 9. \n" ); document.write( " \n" ); document.write( " |