Final answer:
To find the long side of a rectangle with an area of 44m squared and a short side of 3 2/3m, convert the short side to an improper fraction (11/3 meters) and divide the area by it. The long side is 12 meters.
Step-by-step explanation:
The question asks for the length of the long side of a rectangle when the area and the length of the short side are known. To find the length of the long side, one must divide the area by the length of the short side. First, convert 3 2/3 meters to an improper fraction, which is 11/3 meters. Next, divide the area of the rectangle, 44m squared, by the length of the short side.
Here's the calculation:
Convert 3 2/3 to an improper fraction: 3 2/3 = (3 * 3 + 2)/3 = 11/3 meters
Divide the area by the short side: Area/Short Side = 44m² / (11/3)m
Multiply by the reciprocal: 44m² * (3/11)m = 12m (the length of the long side)
Therefore, the length of the long side of the rectangle is 12 meters.