document.write( "Question 1171340: The base of a triangle is 4 inches more than twice its height.
\n" ); document.write( "If the area of the triangle is 440 square inches, what is the base of the triangle in inches? \n" ); document.write( "

Algebra.Com's Answer #796286 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "    = 440.\r\n" );
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document.write( "With my magic lamp, I will show you how to solve it mentally.\r\n" );
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document.write( "Multiply by 2 both sides\r\n" );
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document.write( "    x*(2x+4) = 880.\r\n" );
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document.write( "Multiply by 2 both sides ONE MORE TIME.  You will get\r\n" );
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document.write( "    2x*(2x+4) = 1760.\r\n" );
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document.write( "Now find MENTALLY (= guess) decomposition of the number 1760 into product of two factors, that differ by 4.\r\n" );
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document.write( "To faculitate guessing, recall that    is about 40, or slightly more than 40.\r\n" );
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document.write( "Taking it into account, you find this decomposition in 1 second\r\n" );
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document.write( "    1760 = 40*44.\r\n" );
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document.write( "Thus 2x = 40,  x = 40/2 = 20.\r\n" );
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document.write( "It is your ANSWER:  the base of the triangle is  20 inches.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "So, lazy person can solve it mentally . . . \r
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