Answer
$2w\sqrt{ 34}$.
Work Step by Step
Width $=6w$.
Length $=10w$.
The distance from one corner to the opposite corner is a diagonal of the rectangle.
Diagonal.
$=\sqrt{(6w)^2+(10w)^2}$
Simplify.
$=\sqrt{36w^2+100w^2}$
$=\sqrt{136w^2}$
$=\sqrt{4w^2\cdot 34}$
$=2w\sqrt{ 34}$.
