A parallelogram and a triangle both have a base of 8 inches. the height of the parallelogram is 4 inches. what is the height of the triangle if both shapes have the same area?

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  1. area of parallelogram = base x height
    area of triangle = (1/2)base x height

    area of parallelogram = 8(4) in^2 = 32 in^2

    32 = (1/2)(8)(height)
    height = 8 inches

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