document.write( "Question 1087255: The perimeter of rectangle is 28cm. Find the range of possible values of width of the rectangle if diagonal is less than 10cm \n" ); document.write( "

Algebra.Com's Answer #701778 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let L be the length and W be the width.\r\n" );
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document.write( "Then we have L + W = 14; hence, L = 14-W and the diagonal is\r\n" );
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document.write( " < 10.\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( " < 100  ====>\r\n" );
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document.write( " < 100  ====>\r\n" );
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document.write( " < 0  ====>\r\n" );
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document.write( " < 0  ====>\r\n" );
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document.write( "the roots of the quadratic equation  = 0  are\r\n" );
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document.write( " =  =  =   ====>\r\n" );
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document.write( "1)   = 8;   2)   = 6.\r\n" );
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document.write( "The width is between 6 and 7   (I accept that the width is the smaller dimension of the rectangle).\r\n" );
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document.write( "Answer.  At given conditions, the range of possible values of the width of a rectangle is the interval (6,7) \r\n" );
document.write( "         (accepting that the width is the smaller of the two dimensions of a rectangle).\r\n" );
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