document.write( "Question 335799: Hello! I'm from an Asian Country and I'm not good at English. So sometimes I get confused with some word problems. Please help me with this word problem.
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document.write( "\" The length of a rectangle is x+2 and width is x-1 and a square has a length of each side is x. The area of the rectangle has shown exceeded the area of the square by 2 square centimetre. Find x.\"
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document.write( "So I write the equation as (x+2) (x - 1) = (x) (x) + 2
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document.write( "Please correct me if my equation is wrong. (What my problem is the word \"exceeded by 2 sq cm\", so I confused with two x square or x square plus two) \n" );
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Algebra.Com's Answer #240847 by Theo(13342) You can put this solution on YOUR website! length of a rectangle is x+2. \n" ); document.write( "width of the rectangle is x-1. \n" ); document.write( "length of the side of a square is x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The area of the rectangle exceeds the area of the square by 2 square centimeters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Find x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "exceeds means \"is greater than\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area of the rectangle is equal to length * width = (x+2) * (x-1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area of the square is equal to side * side = x * x = x^2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the area of the rectangle exceeds the area of the square by 2 square centimeters, then the equation would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+2) * (x-1) = x^2 + 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I believe you have the equation right.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solving this problem, you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + x - 2 = x^2 + 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtracting x^2 from both sides of the equation and adding 2 to both sides of the equation gets:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That should be your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4+2)*(4-1) = 6*3 = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4*4 = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18 exceeds 16 by 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18 is greater than 16 by 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18 = 16 + 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer is confirmed to be good.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |