**Part B**. The conversion factor relating feet to meters is 1 ft = 0.305 m. Keep in mind that when using conversion factors, you want to make sure that like units cancel leaving you with the units you need.

You have been told that a certain house is 164 m^{2} in area. How much is this in square feet?

Keeping track of units during conversions can get confusing. Therefore, a good strategy is to use dimensional analysis. In dimensional analysis, conversion factors are used to cancel out unwanted units and leave the desired units.

Consider the following example: How many football fields could fit on a 1 mile stretch of land? Here are the relevant conversion factors:

1 football field = 100 yards

1 mile = 5280 ft

1 yard = 3 ft

Then

$\mathbf{1}\mathbf{}\mathbf{mile}\mathbf{\times}\frac{\mathbf{5280}\mathbf{}\mathbf{ft}}{\mathbf{1}\mathbf{}\mathbf{mil}\mathbf{3}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\mathbf{yard}}{\mathbf{3}\mathbf{}\mathbf{ft}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\mathbf{football}\mathbf{}\mathbf{field}}{\mathbf{100}\mathbf{}\mathbf{yard}}\mathbf{=}\mathbf{17}\mathbf{.}\mathbf{6}\mathbf{}\mathbf{football}\mathbf{}\mathbf{fields}$

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Metric Prefixes concept. You can view video lessons to learn Metric Prefixes. Or if you need more Metric Prefixes practice, you can also practice Metric Prefixes practice problems.