Question

a pool is shaped like a rectangle with a length 4 times its width w. What is an expression for the distance between opposite corners of the pool?

Answer 1

Can anyone help?

Answer 2

\[\text{diagonal}=4w \text{Sec}\left[\text{ArcTan}\left[\frac{1}{4}\right]\right] \]

Answer 3

Thats the answer? :|

Answer 4

Notice that no dimensions are given, no numbers like the distance around the pool.
There is not enough information to solve for x.
The diagonal is a function of w.
Another expression:
\[\text{diagonal}=\sqrt{w^2 + 16 w^2} \]