Answer:
6 meters
Step-by-step explanation:
Since the gaps are at opposite corners, this distance corresponds to the diagonal.
If we cross the diagonal a rectangular triangle is formed and in this way we can apply Pythagoras.
d ^ 2 = l ^ 2 + w ^ 2
d = 10
l = 8
if we solve for w, that is, the width:
w ^ 2 = d ^ 2 - l ^ 2
we replace:
w ^ 2 = 10 ^ 2 - 8 ^ 2
w ^ 2 = 36
w = 6
which means that the width is 6 meters
