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2. A wooden beam has a rectangular cross section of height , and width w in centimeters as shown in the figure below. The strength

2. A wooden beam has a rectangular cross section of height , and width w in centimeters as shown in the figure below. The strength S of the beam is directly proportional to the product of the width and the square of the height. Determine the exact dimensions of the strongest beam that can be cut from a round log of circumference 247 cm. [5 Marks] h W

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