one foot is equivalent to approximately 0.3048 meters. if a building is 65-feet long, what is the length of the building in meters, to the nearest tenth?

you can always multiply by 1 without changing anything. You know that

1 ft = 0.3048 m
That means that
1ft/0.3048m = 1
0.3048m/1ft = 1

Now, you want to convert feet to meters, so just multiply by the "correct" representation of 1, so that the units cancel out as you need them to do.

65ft * 0.3048m/1ft = 19.812m

To convert feet to meters, you need to multiply the length in feet by the conversion factor of 0.3048.

In this case, the length of the building is given as 65 feet.

So, to find the length of the building in meters, you can use the following calculation:

Length in meters = Length in feet * Conversion factor

Length in meters = 65 feet * 0.3048 meters/foot

Length in meters = 19.812 meters (rounded to the nearest tenth)

Therefore, the length of the building is approximately 19.8 meters to the nearest tenth.