Not sure how you can say nothing was measured. There is clearly a square and rule on the bench. If nothing was measured, how did it fit together?
Even if those tools were not present, measurement does not actually require them. Measurement is simply using some standard to compare items or to describe something.
I once had a measuring unit were students had to measure various items using their own self defined standard. They had to define their standard. After doing this it became very apparent the importance of “standards”. Look up “MIT Smoot”
I taught “shop class”. It was interesting when teachers from the math department asked how students in my class were suddenly able to work with fractions and decimals. The math department started doing the activity so I did not have to.

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