document.write( "Question 1036057: The front of an A-frame cabin in a national park is in the shade of a triangle, with an area of 189 ft^2. If the height is 1 ft less than twice the base, find the base and the height of the front of the cabin?
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Algebra.Com's Answer #650650 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The front of an A-frame cabin in a national park is in the shape of a triangle, with an area of 189 ft^2. If the height is 1 ft less than twice the base, find the base and the height of the front of the cabin? \n" ); document.write( "---- \n" ); document.write( "A = (1/2)*base*height \n" ); document.write( "------ \n" ); document.write( "189 = (1/2)*b*(2b-1) \n" ); document.write( "------ \n" ); document.write( "378 = 2b^2 - 2b \n" ); document.write( "----- \n" ); document.write( "2b^2 - 2b - 378 = 0 \n" ); document.write( "--- \n" ); document.write( "b^2 - b - 189 = 0 \n" ); document.write( "Use the Quadratic formula to get:: \n" ); document.write( "base = 14.26 ft \n" ); document.write( "------------ \n" ); document.write( "height = 2b-1 = 28.52-1 = 27.52 ft \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |