Answer
$2w\sqrt{34}$ yd
Work Step by Step
The diagonal forms a right triangle. Use the Pythagorean Theorem to find the length from corner to corner.
$a^2+b^2=c^2\longrightarrow$ substitute the given values
$(6w)^2+(10w)^2=c^2\longrightarrow$ simplify
$36w^2+100w^2=c^2\longrightarrow$ add
$136w^2=c^2\longrightarrow$ find the square root of each side
$\sqrt{136w^2}=\sqrt{c^2}\longrightarrow$ factor out the perfect square
$\sqrt{4w^2\times34}=c\longrightarrow$ multiplication property of square roots
$\sqrt{4w^2}\times\sqrt{34}=c\longrightarrow$ simplify
$2w\sqrt{34}=c$
