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The phrase "a length at" is correct and usable in written English.
It can be used when specifying a particular measurement or distance in a context where length is relevant.
Example: "The fabric should be cut to a length at which it can be easily sewn."
Alternatives: "a measurement of" or "a distance of".
Exact(47)
Generally there is a length at which the force generated is maximal.
"But if Britain gets more gold medals, I'm wearing the GB shirt and rowing a length at Eton Dorney.
Sammy gets one to burst from a length at Watson, who fences it short of backward point.
He's also bowling back of a length, at the body, but this pair are getting into the groove now.
We thought we'd maybe lost a length at the start we could have used at the end.
Richard Hughes forced him to within a length at the line – another ride that attracted a whip ban – but Charm Spirit was already gone beyond recall.
Similar(13)
They had an length at the waterline of 535 feet, a beam of 51 feet and a mean draft of about 18 feet.
It's probably best to begin with a long length, which allows you to change to a shorter length at a later time for a different look.
If you have long hair, trim a little length at a time to see how you like it, and then decide if you want to go shorter.
Rewilding was half a length behind At First Sight, while Jan Vermeer was another four lengths adrift in fourth.
They were three-and-a-half seconds and three-quarters of a length clear at the halfway mark.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com