Question

В XVII в. основной мерой в России была казённая сажень равная 2,16 м, и содержащая три аршина (72 см) по 16 вершков. Ещё во времена Петра І русские меры длины были уравнены с английскими: 1 сажень = 7 английских футов = 84 дюйма = 2,1336 метра. До указана Петра I купили 5 сажень и 3 аршина ткани. На сколько изменилась длина этой ткани после указа Петра I?

Answer 1

Ответ в приложенном файле

Answer 2

Russian Length Measurement in the 17th Century

In the 17th century, the primary unit of length measurement in Russia was the "казённая сажень" (kazyonnaya sazhen), which was equal to 2.16 meters and contained three "аршина" (arshins) of 72 centimeters each, divided into 16 "вершков" (vershoks).

Standardization by Peter the Great

During the time of Peter the Great, Russian length measurements were standardized to be equivalent to English measurements. Specifically, 1 sazhen was equal to 7 English feet, 84 inches, or 2.1336 meters.

Calculation of Fabric Length

Before Peter the Great's decree, 5 sazhens and 3 arshins of fabric were purchased. To calculate the change in length of this fabric after Peter the Great's decree, we can use the following conversion: - 5 sazhens and 3 arshins = (5 * 2.16 meters) + (3 * 0.72 meters) = 10.8 meters + 2.16 meters = 12.96 meters

After the decree: - 5 sazhens and 3 arshins = (5 * 2.1336 meters) + (3 * 0.72 meters) = 10.668 meters + 2.16 meters = 12.828 meters

The length of the fabric decreased from 12.96 meters to 12.828 meters after Peter the Great's decree.

Conclusion

The length of 5 sazhens and 3 arshins of fabric decreased from 12.96 meters to 12.828 meters after Peter the Great's decree standardizing Russian length measurements to be equivalent to English measurements.