How would you explain the "coastline paradox" to a non-mathematician?

It seems to trip some people out when I tell them coastlines are not possible to measure....

Geometry Quiz. What is the answer for this exercise?

In the figure, ABCD is a square. E, F, G, H are points on BC, CD, DA and AE respectively such that EFGH is a rectangle. It is known that BE= 3, AB= 4 and AE= 5. If EFGH has area m/n where n, n are positive integers, with no common divisors (i.e, the fraction in simplest form), fin m + n....