Question: The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its height, and

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its height, and inversely as the length of the beam. A beam 12 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 9 inches and a height of 5 inches, how long must it be to support 1200 pounds? The board must be 25 feet. (Do not round until the final answer. Then round to two decimal places as needed.)

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