document.write( "Question 1173860: The area of a carpet is 144 sq. meter. If its length is 2m less and its width is 5m more, the carpet will be a square. Find the dimension of the carpet. Show your work. \n" ); document.write( "

Algebra.Com's Answer #799180 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The area of a carpet is 144 sq. meter. If its length is 2m less and its width is 5m more, the carpet will be a square.
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document.write( "Let x be the measure of the square side, in meters.\r\n" );
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document.write( "Then the real dimensions of the carpet are (x+2) m  for the length and (x-5) m  for the width,\r\n" );
document.write( "according to the condition.\r\n" );
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document.write( "The area equation is\r\n" );
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document.write( "    (x+2)*(x-5) = 144.\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    x^2 - 3x - 10 = 144\r\n" );
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document.write( "    x^2 - 3x - 154 = 0\r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "It has two roots  14  and  -11.  Of them, only the value x= 14 is acceptable solution.\r\n" );
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document.write( "ANSWER.  The dimensions of the carpet are  14+2 = 16 m (the length)  and  14-5 = 9 m (the width).\r\n" );
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document.write( "CHECK.   a)  The area of the carpet is  16*9 = 144 square meters.       ! correct !\r\n" );
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document.write( "         b)  16 - 2 = 14;  9 + 5 = 14,  so  16-2 and 9+5 are equal sides of the square.    ! correct !\r\n" );
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