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The following diagram is a rough sketch of a storage shed. The owner needs to know the area of the roof so that he knows

The following diagram is a rough sketch of a storage shed. The owner needs to know the area of the roof so that he knows how many roof shingles to purchase. The angle between the two edges of the roof (the gable) is 110. The roof panels could be described as the quadrilateral DHKC and DHGE. The front has a width of 12 ft and the width of the side is 28 feet. The triangle CDE is an isosceles triangle. 


QUESTION: Find the area of the two quadrilaterals that represent the roof AND explain how you were able to determine the area.

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