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please help me solve this problem, thank you.

The ratio of the area of a triangle to the area of a rectangle is 3:5. the difference in their areas is 54 square inches. what is the height of the triangle if its base is 2 times its height?

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5k - 3k = 54 ... k = 27

1/2 * 2h * h = 3 * 27

the height of the triangle is 9. Is that right

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