Algebra.Com's Answer #851342 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "The line y=mx+b forms a triangle with the positive x- & y-axes. If the height is thrice the base,
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document.write( "and the area of the triangle is 24 square units, find the equation of the line and the perimeter of the triangle.
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document.write( "Let x be the base length; then the height is 3x units.\r\n" );
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document.write( "Write an equation for the area of the triangle\r\n" );
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document.write( "  = 24.\r\n" );
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document.write( "Simplify it and find x\r\n" );
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document.write( " x*(3x) = 48\r\n" );
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document.write( " 3x^2 = 48\r\n" );
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document.write( " x^2 = 48/3 = 16\r\n" );
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document.write( " x =  = 4.\r\n" );
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document.write( "Thus the base is 4 units long along x-axis; the height is 3*4 = 12 units long along y-axis.\r\n" );
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document.write( "It means that the slope is negative 12/4 units, or -3, and y-intercept is 12 units.\r\n" );
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document.write( "So, we write the equation of the line in the form \r\n" );
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document.write( " y = -3x + 12.\r\n" );
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document.write( "The perimeter of the triangle is 4 + 12 +  = 16 +  = 16 +  = 28.64911 (approximately).\r\n" );
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document.write( "Solved in full.\r
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