The Units of Area Conversion helps to convert the units in **Mensuration**. Students can know the relationship between the various units with the help of the solved examples. Sometimes it is necessary to convert the units of area conversion to solve the problems in mensuration. Here we will discuss in detail units of area conversion. Know how to convert the area units in this article.

## Units of Area Conversion

The relationship between the various units of lengths are as follows,

- 1 meter = 100 centimeter
- 1 meter = 10 decimeter
- 1 hm = 100 meter
- 1 km = 1000 meter
- 1 dam = 10 meters
- 1 km = 10 hm
- 1 dm = 10 cm
- 1 yard = 3 feet
- 1 feet = 0.3048 meters

The units of area conversion are given below

- 1m = 100cm, 1 m² = 10,000 cm²
- 1m = 10 dm, 1 m² = 10 × 10 dm² = 100 dm²
- 1 cm = 10 mm, 1 cm² = 10 × 10 mm² = 100 mm²
- 1 km = 1000 m, 1 km² = 1000 m × 1000 m = 1,000,000m²
- 1 hm = 100 m, 1 hm² = 100m × 100m = 10,000m²
- 1 dam = 10 m, 1 dam² = 10m × 10m = 100 m²
- 1 dm = 10 cm, 1 dm² = 10 cm × 10 cm = 100 cm²
- 1 km = 10 hm, 1 km² = 10 hm × 10 hm = 100 hm²
- 1 hectare = 100 ares
- 1 ft² = 0.09 m²

### Solved Examples on Area Conversions

Students are suggested to go through the below example problems to know in deep about the units of area conversion.

**1. Convert 2 hectares to square meters?**

Solution:

First, convert from hectares to square meters

1 hectare = 10000 meters²

2 hectares =?

2 × 10000 meters² = 20,000 meters²

Thus 2 hectares = 20,000 meters²

**2. Convert 3 sq. km to square hectometer.**

Solution:

First convert from kilometers to square hectometers.

1 km = 10 hm

3 km = ?

1 km² = 100 hm²

Therefore 3 km² = 3 × 100 hm² = 300 hm²

**3. Convert 4 hectares in ares?**

Solution:

Convert from hectares to ares.

1 hectare = 100 ares

4 hectares =?

4 hectares = 4 × 100 ares

Thus 4 hectares = 400 ares

**4. Convert from 50 sq. cm to mm²**

Solution:

Convert from cm² to mm²

1 cm = 10mm

1 cm² = 10 × 10 mm² = 100 mm²

50 cm² = 50 × 100 mm² = 5000 mm²

Thus, 50 cm² = 5000 mm²

**5. Convert 50 kilometers to meters?**

Solution:

Convert from kilometers to meters.

1 km = 1000 meters

50 km =?

50 × 1000 meters = 50,000 meters

Thus 50 km = 50,000 meters

**6. Convert 35 square meters to dm²?**

Solution:

Convert from square meters to sq. decimeters.

1 m² = 100 dm²

35 m² = 35 × 100 dm²

35 m² = 3500 dm²

Thus 35 m² = 3500 dm²

**7. Convert 15 square feet into square meters.**

Solution:

First convert square feet into square meters.

1 ft² = 0.09 m²

15 ft² = 15 × 0.09 m² = 1.35 sq. meters

Thus 15 square feet = 1.35 m².

### FAQs on Units of Area Conversion

**1. How to convert units to other units?**

- Write the units in a fraction
- Multiply and cancel the units in numerator and denominator.

**2. What is a conversion rate?**

Conversion rate = total number of conversions/total number of sessions × 100

**3. How to convert the conversion factor?**

The conversion factor is the number that is used to change the unit either by multiplying or dividing.