The actor walks 23ft across the stage before disappearing on the trapdoor.
How far does he walk across the stage?
We need to find the distance between point A and point B using the given diagram.
On the image, we can see that there are two distances representing the same layout, then we can write:
x + 8ft + x + 8ft + x = (26 + 1/2)ft
With that, we can find the value of x (which is the length of the trap doors).
3x + 16ft = (26 + 1/2) ft
We need to solve that linear equation, we will get:
3x = (26 + 1/2) ft - 16ft = (10 + 1/2) ft
3x = (10.5)ft
x = (10.5 ft)/3 = 3.5ft
Now, the distance between point A and point B (according to the diagram) is:
D = x + 8ft + x + 8ft
Replacing the value of x:
D = 3.5ft + 8ft + 3.5ft + 8ft = 7ft + 16ft = 23ft
The actor walks 23ft across the stage before disappearing on the trapdoor.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
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