Final answer:
The correct answer is option c) 55 meters. The width of the lawn in meters is actually 33 meters.
Step-by-step explanation:
This was determined by converting the area and length into compatible units (both in yards), dividing the area by the length to find the width, and converting back to meters. An initial mistake was corrected to reach the accurate result.
First, let's convert the length of the lawn from meters to yards, using the given conversion rate where 1 meter equals 1.1 yards. So, the length is 50 meters * 1.1 yards/meter = 55 yards. Then, we can find the width by using the area of the rectangle formula: Area = Length * Width. The area given is 1815 square yards.
Divide the area by the length to find the width:
Width = Area / Length
Width = 1815 square yards / 55 yards
Width = 33 yards.
Now, we convert the width back to meters, as 1 yard is approximately 0.909 meters (since 1 meter is 1.1 yards):
Width in meters = 33 yards * (1 meter / 1.1 yards)
Width in meters = 30 meters
However, due to the conversion at the start, we can see that there was a misunderstanding. The length in meters doesn't need conversion since the width should also be calculated in meters to match. Thus, the correct width in meters is actually the number before converting to yards and back, which is 33 meters (option (a)), not 55 meters as previously stated. This error highlights the importance of careful unit conversion.