SOLUTION: 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

Let the side length of the equilateral triangle ABC is "a".


Then the area of the triangle is  A = .


The length of the base GF of the rectangle  is  b = ;  

its height GD is half of the triangle height     h =  = .


Hence, the area of the rectangle is  B = b*h = .


The ratio under the question   = .    ANSWER