document.write( "Question 1022144: The width of a rectangular TV screen is 14.5 cm more than the height. If the diagonal is 68.6 cm, find the dimensions of the screen. \n" ); document.write( "

Algebra.Com's Answer #637899 by ikleyn(52814) $\"\"$ $\"About$

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\n" ); document.write( "The width of a rectangular TV screen is 14.5 cm more than the height.
\n" ); document.write( "If the diagonal is 68.6 cm, find the dimensions of the screen.
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document.write( "Let x be the height measure in centimeters.\r\n" );
document.write( "Then the width measure is (x + 14.5), in accordance with the condition.\r\n" );
document.write( "The diagonal is (Pythagorean theorem)\r\n" );
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document.write( "According with the condition, the diagonal measure is 68.6 cm.\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( " = .\r\n" );
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document.write( "Simplify it:\r\n" );
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document.write( " = ,\r\n" );
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document.write( " = .\r\n" );
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document.write( "Apply the quadratic formula. You will get\r\n" );
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document.write( " =  =  = .\r\n" );
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document.write( "The positive root (which only suits the condition) is 40.71.\r\n" );
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document.write( "The height of the screen is 40.71 cm.\r\n" );
document.write( "The width is  40.71 + 14.5 = 55.21 cm.\r\n" );
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