math problem algebra 2

Question

The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam

one fourth14

foot​ wide,

one half12

foot​high, and

2020

feet long can support

3030

​tons, find how much a similar beam can support if the beam is

one third13

foot​ wide,

one fourth14

foot​ high, and

1313

feet long.  

Answer 1

This means M = k wh²/L

Put the given values into this equation and do the division to get k.

Then take the other set of values with the known value of k to get M the maximum wt.