Question

Fencing costs $25.80 per yard. How much does it cost to enclose two adjacent rectangular pastures x= 50 5/8 y= 30 2/9

Answer 1

To find the cost of fencing the adjacent rectangular pastures, calculate the perimeter and multiply it by the cost per yard. The Total Cost is $17,988.60 .

Step-by-step explanation:

To find the cost of fencing, we need to calculate the perimeter of the two adjacent rectangular pastures. The perimeter is the sum of the lengths of all sides. Let's calculate the length and width of the two rectangular pastures:

1. The length of the first pasture (x) is 50 5/8 yards, which can be converted to a fraction as 405/8 yards.
2. The width of the first pasture (y) is 30 2/9 yards, which can be converted to a fraction as 272/9 yards.
3. The length of the second pasture will also be 405/8 yards since it is adjacent to the first pasture.
4. The width of the second pasture will also be 272/9 yards since it is adjacent to the first pasture.

Now, let's calculate the perimeter by adding the lengths of all four sides:

Perimeter = 405/8 + 272/9 + 405/8 + 272/9

= 10125/72 + 2448/72 + 10125/72 + 2448/72

= 25146/72

= 3503/2 yards

Finally, multiply the length of the perimeter by the cost per yard to find the total cost:

• Total Cost = (3503/2) * 25.80 = $17,988.60