# Area Units - Examples, Exercises and Solutions

## Surface Area Measures

$\text{cm}^2$ (square centimeter), $m^2$ (square meter), $\text{km}^2$ (square kilometer).

These units are different, but they are related:

$1\text{km}^2=1,000,000\text{m}^2$

$1\text{m}^2=10,000\text{cm}^2$

Understanding the relationship between these units is key, but there's no need to memorize it—we can quickly calculate it when needed.

Let's say we want to calculate how many $\text{cm}^2$ are in $1\text{m}^2$. We’ll draw a square whose sides each measure $1$ meter:

To calculate the area of the square, we need to multiply the length of one side by the other (this is a well-known formula). In our case:

The area of the square $=1\text{m}\times1\text{m}$.

The result is $1$ m² or, writing it another way:

$A=1\text{m}^2$

### Suggested Topics to Practice in Advance

1. Units of measurement for 11 and 12 year olds

## Examples with solutions for Area Units

### Exercise #1

$8km^2=?m^2$

### Step-by-Step Solution

It's important to remember that in one kilometer there are 1000 meters.

Therefore, if there are 8 kilometers, it means there are 8*1000 meters -

8000 meters.

$8000m^2$

### Exercise #2

$0.5m=?cm$

### Video Solution

$50$

### Exercise #3

$5cm=?mm$

### Video Solution

$50$

### Exercise #4

$5000cm=?km$

### Video Solution

$0.005$

### Exercise #5

$7m=?cm$

### Video Solution

$700$

### Exercise #6

$7m=?cm$

### Video Solution

$700$

### Exercise #7

$12cm=?dm$

### Video Solution

$1.2$

### Exercise #8

$\frac{1}{5}km=?m$

### Video Solution

$200$

### Exercise #9

$2\frac{1}{2}km^2=?m^2$

### Video Solution

$2500m^2$

### Exercise #10

$291cm^2=?m^2$

### Video Solution

$0.0291m^2$

### Exercise #11

$3780m^2=?km^2$

### Video Solution

$3.78km^2$

### Exercise #12

$5cm=?mm$

### Video Solution

$50$

### Exercise #13

$0.6km=?cm$

### Video Solution

$60,000$

### Exercise #14

$9m^2=?cm^2$

### Video Solution

$90000cm^2$

### Exercise #15

$125m=?km$

### Video Solution

$\frac{1}{8}$