document.write( "Question 1135809: Quadratic Word Problems:\r
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document.write( "To make a square whose area is a number four times as large as it’s perimeter, how long should each side be?\r
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document.write( "What I have so far:
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document.write( "X - length of all four sides
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document.write( "Y - area
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document.write( "Z - perimeter\r
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document.write( "y=4z
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document.write( "4x=z
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document.write( "x^2=y\r
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document.write( "I’m sorry but this is homework due tomorrow and it is my last question. Can you please help me figure it out? \n" );
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Algebra.Com's Answer #753487 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let X be the square side length, now unknown.\r\n" ); document.write( "\r\n" ); document.write( "Then the perimeter is P = 4X, while the area is A = X^2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "They want A = 4P, or X^2 = 4*(4X), which is the same as X^2 = 16*X.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Divide by X both sides of the last equation, and you will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " X = 16.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is your ANSWER : The side length must be 16 units long.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and completed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |