is parallel to and is a parallelogram such that and . Given that and , find the sum of the areas of and .
In the diagram shown above,
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If a parallelogram has the same base as a triangle, and they are between the same parallel lines, the area of the parallelogram is twice the area of the triangle. In the problem, the area of the parallelogram is 1 0 ⋅ 7 = 7 0 . Since the area of △ A D E = 3 5 and △ E C D = 3 5 , the desired answer is 3 5 + 3 5 = 7 0 .