x？ +x？ =2a﹣ 1
x？ x？ =4(a - 1)
Equation about x x2-(2a-1) x+4 (a-1) = 0 Two roots are the lengths of two right-angled sides of a right-angled triangle with a hypotenuse length of 5.
∴x+x=5？
∴﹙x？ +x？ ﹚? ﹣2x？ x？ =25
∴﹙2a﹣ 1 ﹚？ ﹣ 8(a - 1﹚=25
∴a？ =4，a？ = 1
∫A = 1[—(2a— 1)]？ ﹣4×4(a - 1)8.5
The solution that satisfies the meaning of the problem is x = 10.
When x= 10, 35-2x= 15.
Answer: The length and width of the chicken farm are 15m and 10m respectively.