Question

How do I convert 200 yards into meters using Dimensional Analysis? Explain thoroughly. Thanks!

A) A = 200 yards * 0.9144 meters/yard
B) B = 200 yards * 1.0936 meters/yard
C) C = 200 yards * 0.3048 meters/yard
D) D = 200 yards * 0.0254 meters/yard

Answer 1

To convert 200 yards to meters using Dimensional Analysis, multiply 200 yards by the conversion factor 0.9144 meters/yard to get 182.88 meters, which corresponds to Option A.

Step-by-step explanation:

To convert 200 yards into meters using Dimensional Analysis, we need to use the correct conversion factor that defines how many meters are in one yard. The correct conversion factor, as defined by the International Yard and Pound Agreement of 1959, is that one yard is equal to 0.9144 meters.

You can set up your conversion like this:
A = 200 yards * 0.9144 meters/yard

Here, the unit of yards will cancel out, leaving you with meters:

• 200 yards * 0.9144 meters/1 yard = 182.88 meters

Hence, 200 yards is equal to 182.88 meters, which means the correct answer is Option A.