# Homework 18

- Page ID
- 28875

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*Q 1.63*

**Given: **2 m square 2 m^{2 }

**Find: **cm^{2}

**Conceptual Plan: **\[2 m^2\rightarrow cm^2\]

Notice that for square units, the conversion factor must be squared.

**Solution:** \[2 m^2\cdot \frac{100cm^2}{2m^2}=1\cdot 10^2cm^2\]

**Check: **The units of the answer are correct and the magnitude makes sense. The unit centimeter is smaller than a meter, so the value in square centimeters should be larger that in square meters.