document.write( "Question 1105151: The vertices of a polygon are (9, 27), (15, 27), (18, 12), and (6, 12). Find the area of the polygon. \n" ); document.write( "

Algebra.Com's Answer #719910 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Even with \"not-armed\" eye, it is clearly seen from the coordinates, that the polygon is a trapezoid with horizontal bases\r\n" );
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document.write( "of the lengths of 15-9 = 6  and  18-6 = 12 units.\r\n" );
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document.write( "The altitude is 27-12 = 15 units.\r\n" );
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document.write( "The area of a trapezoid is the product of the half of the sum of its bases (which is (6+12)/2 = 9 units) and the altitude,\r\n" );
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document.write( "so the area is 15*9 = 135 square units.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. The area of the polygon is 135 square units.\r
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