the figure represents a building in the shape of a regular hexagon. using the scale 1cm=177m, what is the perimeter of the building 1.1cm?
Assuming one side is scaled at 1.1cm, then
1cm=177m
.1cm=17.7m
6(177+17.7) = ?
To find the actual perimeter of the building, we can use the given scale of 1cm = 177m.
First, we need to find the perimeter of the regular hexagon in centimeters.
A regular hexagon has 6 equal sides, so we can find the length of each side by dividing the given 1.1cm by 6.
1.1cm ÷ 6 = 0.1833 cm (approx.)
Now, we can convert this length to meters using the scale of 1cm = 177m:
0.1833 cm × 177m/cm = 32.4483 m (approx.)
Finally, to find the actual perimeter of the building, we multiply the length of one side by 6:
32.4483 m × 6 = 194.6898 m (approx.)
Therefore, the perimeter of the building is approximately 194.69 meters.
To find the perimeter of the building, we need to calculate the total distance around the hexagon.
First, let's determine the length of each side of the hexagon. Since the hexagon is regular, it means that all sides have the same length.
Since the given scale is 1cm = 177m, we need to convert the scale to meters:
1cm = 177m.
Therefore, 1cm represents 177 meters.
To find the length of one side of the hexagon, we can multiply the scale by the given measurement in centimeters:
1.1cm * 177m/cm = 194.7m
So, one side of the hexagon represents 194.7 meters.
Since there are 6 sides in a hexagon, we can calculate the perimeter by multiplying the length of one side by 6:
Perimeter = 6 * 194.7m = 1168.2m
Therefore, the perimeter of the building is 1168.2 meters.