Final answer:
To find the area of the actual stone patio in square meters, multiply the width and length of the actual patio after finding the scale factor between the scale drawing and the actual patio.
Step-by-step explanation:
To find the area of the actual stone patio in square meters, we need to first find the scale factor between the scale drawing and the actual patio. The scale drawing has a width of 6 cm, while the actual patio has a width of 18 meters. This means the scale factor is 18/6 = 3. Next, we find the length of the actual patio by multiplying the scale factor by the length of the scale drawing, which is 9 cm. The length of the actual patio is 3 * 9 = 27 meters. Finally, we calculate the area of the actual patio by multiplying the width and length: 18 meters * 27 meters = 486 square meters. Therefore, the area of the actual patio is 486 square meters.