Area Units - Examples, Exercises and Solutions

Surface Area Measures

cm2 \text{cm}^2 (square centimeter), m2 m^2 (square meter), km2 \text{km}^2 (square kilometer).

These units are different, but they are related:

1km2=1,000,000m2 1\text{km}^2=1,000,000\text{m}^2

1m2=10,000cm2 1\text{m}^2=10,000\text{cm}^2

A1 - Examples of Surface Area Measurements

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 cm2 \text{cm}^2 are in 1m2 1\text{m}^2 . We’ll draw a square whose sides each measure 1 1 meter:

A2 - Image of a 1 m^2 square

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 =1m×1m =1\text{m}\times1\text{m} .

The result is 11 m² or, writing it another way:

A=1m2 A=1\text{m}^2

Suggested Topics to Practice in Advance

  1. Units of measurement for 11 and 12 year olds

Practice Area Units

Examples with solutions for Area Units

Exercise #1

8km2=?m2 8km^2=?m^2

Video Solution

Step-by-Step Solution

Remember that one kilometer equals 1000 meters.

Therefore 8 kilometers equals 8*1000 meters.

The answer is 8000 meters.

Answer

8000m2 8000m^2

Exercise #2

291cm2=?m2 291cm^2=?m^2

Video Solution

Answer

0.0291m2 0.0291m^2

Exercise #3

9m2=?cm2 9m^2=?cm^2

Video Solution

Answer

90000cm2 90000cm^2

Exercise #4

3780m2=?km2 3780m^2=?km^2

Video Solution

Answer

3.78km2 3.78km^2

Exercise #5

212km2=?m2 2\frac{1}{2}km^2=?m^2

Video Solution

Answer

2500m2 2500m^2

Exercise #6

0.6km=?cm 0.6km=?cm

Video Solution

Answer

60,000 60,000

Exercise #7

15km=?m \frac{1}{5}km=?m

Video Solution

Answer

200 200

Exercise #8

0.5m=?cm 0.5m=?cm

Video Solution

Answer

50 50

Exercise #9

12cm=?dm 12cm=?dm

Video Solution

Answer

1.2 1.2

Exercise #10

7m=?cm 7m=?cm

Video Solution

Answer

700 700

Exercise #11

5cm=?mm 5cm=?mm

Video Solution

Answer

50 50

Exercise #12

5000cm=?km 5000cm=?km

Video Solution

Answer

0.005 0.005

Exercise #13

7m=?cm 7m=?cm

Video Solution

Answer

700 700

Exercise #14

5cm=?mm 5cm=?mm

Video Solution

Answer

50 50

Exercise #15

1382dm=?m 1382dm=?m

Video Solution

Answer

138.2 138.2