Final answer:
The perimeter of the actual flower bed is 30 meters.
Step-by-step explanation:
If the scale drawing of a triangle flower bed has a perimeter of 15cm and the scale is 1:200, we need to find out the perimeter of the actual flower bed.
First, write the scale as a ratio where the drawing is in the numerator and the actual size is in the denominator:
1/200 = drawing size / actual size
We can solve for the actual size by multiplying the drawing size by the scale factor:
Actual size = drawing size * scale factor
Actual perimeter = 15 cm * 200
Actual perimeter = 3000 cm
Since there are 100 cm in a meter, we divide by 100 to convert centimeters to meters:
Actual perimeter = 3000 cm / 100
Actual perimeter = 30 meters
Thus, the perimeter of the actual flower bed is 30 meters.