To find the perimeter of the triangle whose sides are given as 1 meter 60 centimeters, 1 meter 80 centimeters, and 2 meters, we'll first need to convert all measurements to centimeters and then sum up the lengths of the sides.
1. Step 1: Conversion of lengths to centimeters
- The first side is 1 meter 60 centimeters. Since 1 meter equals 100 centimeters, we can convert this:
[tex]\[
\text{Side 1} = 1 \, \text{meter} + 60 \, \text{centimeters} = 100 \, \text{cm} + 60 \, \text{cm} = 160 \, \text{cm}
\][/tex]
- The second side is 1 meter 80 centimeters. Converting this:
[tex]\[
\text{Side 2} = 1 \, \text{meter} + 80 \, \text{centimeters} = 100 \, \text{cm} + 80 \, \text{cm} = 180 \, \text{cm}
\][/tex]
- The third side is 2 meters. Converting this:
[tex]\[
\text{Side 3} = 2 \, \text{meters} = 2 \times 100 \, \text{cm} = 200 \, \text{cm}
\][/tex]
2. Step 2: Summing the lengths to find the perimeter
- Now, we add up these three sides to find the perimeter of the triangle:
[tex]\[
\text{Perimeter} = 160 \, \text{cm} + 180 \, \text{cm} + 200 \, \text{cm} = 540 \, \text{cm}
\][/tex]
Thus, the perimeter of the triangle is [tex]\( 540 \)[/tex] centimeters.
Therefore, the correct answer is:
[tex]\[
\boxed{540 \, \text{cm}}
\][/tex]
