document.write( "Question 1149752: In the figure, triangle Δ ABC is an equilateral triangle. The points D and E are the midpoints of sides AC and AB, respectively. What is the ratio of the area of the quadrilateral DEFG to the area of triangle ABC?
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Algebra.Com's Answer #771093 by ikleyn(52817) $\"\"$ $\"About$

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document.write( "Let the side length of the equilateral triangle ABC is \"a\".\r\n" );
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document.write( "Then the area of the triangle is  A = .\r\n" );
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document.write( "The length of the base GF of the rectangle  is  b = ;  \r\n" );
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document.write( "its height GD is half of the triangle height     h =  = .\r\n" );
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document.write( "Hence, the area of the rectangle is  B = b*h = .\r\n" );
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document.write( "The ratio under the question   = .    ANSWER\r\n" );
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