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The Strength of a Beam with a Rectangular Cross Section

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The strength of a beam with a rectangular cross section varies directly as x and as the square of y. What are the dimensions of the strongest beam that can be sawed out of a round log whose diameter is d = 27 inches? See figure on right. The strength of a beam with a rectangular cross section varies directly as x and as the square of y. What are the dimensions of the strongest beam that can be sawed out of a round log whose diameter is d = 27 inches? See figure on right.

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