document.write( "Question 1180067: Please check the google document for the diagram! \r
\n" ); document.write( "\n" ); document.write( "a) Determine the area of the inscribed square as a function of x.\r
\n" ); document.write( "\n" ); document.write( "b) Determine the domain and range of the area function\r
\n" ); document.write( "\n" ); document.write( "c) Determine the perimeter of the inscribed square as a function of x\r
\n" ); document.write( "\n" ); document.write( "d) Determine the domain and range of the perimeter function!\r
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Algebra.Com's Answer #809670 by ikleyn(52796) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The answer and the solution that you got from @MathLover1, are ABSURDIST.\r
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\n" ); document.write( "\n" ); document.write( "            Indeed, for the area of the inscribed square, she gives you A = $\"2%2A%2810-x%29%5E2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "            Substitute here x= 0: you will get A = 200 square units for the area of the inscribed square,
\n" ); document.write( "            i.e. is TWO TIMES the area of the original square.\r
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\n" ); document.write( "\n" ); document.write( "            Similarly, for the perimeter of the inscribed square, she gives you P = $\"4%2A%2810-x%29%2Asqrt%282%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "            Substitute here x= 0: you will get P = $\"40sqrt%282%29\"$ units for the perimeter of the inscribed square,
\n" ); document.write( "            i.e. is 1.41 times the perimeter of the original square.\r
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\n" ); document.write( "\n" ); document.write( "            So, her solutions, OBVIOUSLY, are only good to throw them all to a TRASH BIN.\r
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\n" ); document.write( "\n" ); document.write( "Ok, don't worry - - - you are in good hands.   I came to bring a correct solution.\r
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document.write( "The square of the side of the inscribed triangle is \r\n" );
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document.write( "     =  +  =  = .\r\n" );
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document.write( "THEREFORE, the area of the inscibed square\r\n" );
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document.write( "    area =  =  = .      ANSWER\r\n" );
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document.write( "The perimeter is 4 (four) times the side lenght \"a\"\r\n" );
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document.write( "    perimeter =  = .\r\n" );
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document.write( "Regarding the domain and the range of these functions, the question is posed in ambiguous way:\r\n" );
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document.write( "    It has one answer for formal functions and another answer \r\n" );
document.write( "    if to base it on geometric meaning of variables.\r\n" );
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document.write( "THEREFORE, I prefer do not answer this question, until it is posed in a formally correct way.\r\n" );
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