A farmer built a new fence around a paddock 600m x 400m. How much would it cost him to build the fence at £275 a kilometre?

The total distance around the paddock is:

2(600m) + 2(400m) = 1200m + 800m = 2000m

To convert meters to kilometers, divide by 1000:

2000m ÷ 1000m/km = 2km

So the total cost of building the fence at £275 per kilometer would be:

2km x £275/km = £550

Therefore, it would cost the farmer £550 to build the fence around the paddock.