Question

A parallelogram has sides with lengths of `4` and `8`. If the parallelogram's area is `32`, what is the length of its longest diagonal?

Answer 1

`4sqrt5`

Explanation:

Note that the parallelogram is a rectangle, as: `32=8xx4`

So, both the diagonals measure the same. And the length is:

`sqrt(8^2+4^2) = 4sqrt(2^2+1)= 4sqrt5`