This library is built in the open.
If you spot an error, have a suggestion, or just want to say hello — we’d love to hear from you.

Suppose there is a rectangular field 48 paces long and 40 paces wide. Now, based on the original length, a portion with an area of 720 paces is cut out. The question asks: what is the width of this cut section?
Answer: The width is 15 paces.
[Rectangular Field Diagram] Original length: 48 pacesOriginal width: 40 paces
Same as before
Width
Cut Area: 720 paces
Width: 15 paces
The method states: Set the cut area of 720 as the dividend (shi). In traditional Chinese mathematics, the shi is the number to be divided. Use the original length of 48 as the divisor (fa). The fa is the number used to divide the shi. Divide the dividend by the divisor to obtain the cut width of 15 paces.
This matches the question.
Suppose there is a rectangular field 48 paces long and 40 paces wide. Now, based on the original width, a portion with an area of 720 paces is cut out. The question asks: what is the length of this cut section?
Answer: The length is 18 paces.