document.write( "Question 1087043: A rectangle has a 12 cm2 area is inside a right triangle, as shown in the image.\r
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Algebra.Com's Answer #701327 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Two smaller right-angled triangles are similar, which gives the proportion\r\n" );
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document.write( " = .\r\n" );
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document.write( "It implies\r\n" );
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document.write( "(8-x)*(6-y) = xy,\r\n" );
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document.write( "48 - 6x - 8y + xy = xy,\r\n" );
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document.write( "48 = 6x + 8y,\r\n" );
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document.write( "3x + 4y = 24.\r\n" );
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document.write( "So, you have these two equations\r\n" );
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document.write( "3x + 4y = 24,    (1)   and\r\n" );
document.write( "xy = 12.         (2)\r\n" );
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document.write( "From (1), express x =  and substitute it into (2). You will get\r\n" );
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document.write( "a quadratic equation, which you can easily solve (by any method you know).\r\n" );
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document.write( "I will leave the details to you.\r\n" );
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document.write( "Answer.  x = 4 cm, y = 3 cm.\r\n" );
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