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Area of a parallelogram = b*h. Call the area of parallelogram one x and two y. We now know that x = y = b(x)h(X) = b(x)h(y). Now

b(x)h(x) = b(x)h(y)

b(x)h(x)/b(x) = b(x)h(y)/b(x)

h(x) = h(y),

so the height of the second parallelogram must equal the height of the first.

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