Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as its length and jointly as its width and the square of its height. Suppose also that a beam 6 inches wide, 2 inches high, and 12 feet long can support a maximum of 14 tons. What is the maximum weight that could be supported by a beam that is 4 inches wide, 3 inches high, and 14

feet long?

2 answers

The strength of a beam is directly proportional to its width and the square of its depth but inversely proportional to its length. A beam that is
55
inches​ wide,
88
inches​ deep, and
1010
feet long can support a weight of
17601760
pounds. If the same type of beam that is
77
inches wide and
44
inches deep can support
440440
​pounds, how long is the​ beam?
52 inches is what percent of 20 feet?