A playground is shaped like a rectangle with a width 5 times it’s length. What is the simplified expression for the distance between opposite corners of the playground?

width:  W
length: L = 5W

Use the Pyth. Theorem to find the length of the diagonal:

|D| = sqrt(W^2 + [5W]^2) = sqrt(W^2 + 25W^2) = sqrt(26W^2), or 

                                                                            Wsqrt(26)   (ans.)