when dealing with corresponding proportional sides how do you figure out the following:

a rectangle with 6.5m on side and 3.7m on base and the other rectangle is 4.0m base and e on side?

You need to set up the proportion

Base 6.5m 4m
---- ---- ----
Length 3.7m e

Then you cross multiply:

6.5xe=6.5e
4x3.7= 14.1m

So therefore, 6.5e = 14.1m

Then divide both by 6.5 to get what e equals.

6.5e/6.5 = e
14.1/6.5 ≈ 2

so e ≈ 2.