#### Answer

The total cost of fencing for the rectangular field is $1456.

#### Work Step by Step

1. Let $P =$ fencing cost for the country road side
$P = (4.25 \times 82) + (4.25 \times 126)$
$P = (348.5) + (535.5)$
$P = 884$
The fencing cost along the country roads is 884 dollars
2. Let $M =$ fencing cost for the other two sides
$M = (2.75 \times 82) + (2.75 \times 126)$
$M = (225.5 + 346.5)$
$M = 572$
The fencing cost on the other two sides is 572 dollars.
3. Adding the costs
Let $T =$ total cost of fencing for rectangular field
$T = 572 + 884$
$T = 1456$ dollars
Therefore the total cost of fencing for the rectangular field is $1456.