Question

Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet. Each piece will lie on a diagonal of the centerpiece.
How long will each piece of wood should have a length of approximately?

Answer 1

Lie on a diagonal
interesting
not sure if you want overlap or not
it would be not possible to find the lengtsh becasue we arent' given the widtsh so I will assume taht the wood is as long as the diagonal

so we get a right triangle wieht legs 12 and 24 and hypoonsute c

a²+b²=c²
so
12²+24²=c²
144+576=c²
720=c²
sqrt both sides
12√5=c
aprox
c=26.8328

about 26.83 inches

Answer 2

Here, Diagonal wood would be Hypotenuse of the Triangle where two sides would be their perp. & base.

So, h² = p² + b²
h² = 12² + 24²
h² = 144 + 576
h = √720
h = 26.83

In short, Your Answer would be 26.83 Inch

Hope this helps!