a gardener has to put double fence all around a triangular path with sides 120 metre,80 metre,and 60 centi-metre.in the middle of each side their is a gate of width 10 metre. find the length of the wire needed for the fence.
I don't believe that one side is only 60cm.
Fix that, and just find twice the perimeter, then subtract twice the gate width.
To find the length of the wire needed for the fence, we first need to calculate the total perimeter of the triangular path.
The given sides of the triangular path are 120 meters, 80 meters, and 60 centimeters. However, it's important to note that it's always better to work with uniform units, so we should convert the 60 centimeters into meters.
1 centimeter (cm) = 0.01 meter (m)
Therefore, 60 centimeters (cm) = 0.6 meters (m)
Now, let's calculate the perimeter of the triangular path:
Perimeter = Side 1 + Side 2 + Side 3
Perimeter = 120m + 80m + 0.6m
Perimeter = 200.6 meters
However, in the middle of each side, there is a gate with a width of 10 meters. Since there are three sides, we need to subtract the total length of the gates to get the actual length of the fence.
Total length of the gates = 10m + 10m + 10m = 30 meters
Actual length of the fence = Perimeter - Total length of the gates
Actual length of the fence = 200.6m - 30m
Actual length of the fence = 170.6 meters
Therefore, the gardener needs a length of wire that is 170.6 meters long for the double fence around the triangular path.