Practical questions (6 21:14:26) Yang Hui, a mathematician in the Southern Song Dynasty, once put forward such a question: "the area of Zhitian (rectangle) is 864 (square steps), only the width (width) of cloud is less than 12 steps (width is 12 steps less than length). How many steps are the length of the problem and its specific solving process

Practical questions (6 21:14:26) Yang Hui, a mathematician in the Southern Song Dynasty, once put forward such a question: "the area of Zhitian (rectangle) is 864 (square steps), only the width (width) of cloud is less than 12 steps (width is 12 steps less than length). How many steps are the length of the problem and its specific solving process

If the length is x steps, the width is (X-12) steps
∴x(x-12)=864
∴ x=36
A: the length is 36 steps and the width is 24 steps