Answer:
2*x + 2*y ≤ 165 ft
x > 50ft
0ft < y ≤ 20ft
Step-by-step explanation:
For a rectangle with length x and width y, the perimeter of the triangle is:
P = 2*x + 2*y
The perimeter needs to be equal or smaller than the length of fencing that the farmer has, then:
2*x + 2*y ≤ 165 ft
We also know that:
(x strictly larger than 50ft)
x > 50ft
(y can be, at most, 20 ft)
0ft < y ≤ 20ft
(where we added the restriction that y needs to be larger than zero, because we can not have a width equal or smaller than zero)
Then the system of inequalities that represent this situation is:
2*x + 2*y ≤ 165 ft
x > 50ft
0ft < y ≤ 20ft
