UNITS & DIMENSIONS - AREAS

UNITS & DIMENSIONS - AREAS
CONVERSIONS
Relation between the various units of area
       Length Units                         Area Units 

    1 m= 100 cm          so,   1 m²    = (100 × 100) cm²        = 10000 cm²
    1 m = 10 dm           so,   1 m²     = (10 × 10) dm²         = 100 dm²
    1 cm = 10 mm         so,   1 cm²     = (10 × 10) mm²      = 100 mm²
    1 km = 1000 m        so,   1 km²     = (1000 × 1000) m² = 1000000 m² 
    1 hm = 100 m         so,  1 hm²     = (100 × 100) m²    = 10000 m²
                                                                                     = 1 hectare (ha) 
    1 dam = 10 m          so,   1 dam² = (10 × 10) m²         = 100 m² = 1 areas 

SOLVED EXAMPLES
Examples on area conversion:
Convert the following units:
(a)     60 cm² in mm²
Solution:
    60 cm² in mm²
    1 cm = 10 mm
    1 cm² = 100 mm²
    Therefore, 60 cm² = 60 × 100 mm²= 6000 mm²
(b)     3 hectares in m²
Solution:    
    3 hectares in m²
    1 hectare = 10000 m²
    Therefore, 3 hectares = 3 × 10000 m²= 30000 m²
(c)     12000 m² in hectares
Solution:
    12000 m² in hectares
    10000 m² = 1 hectare
Therefore, 12000 m²    = 1/10000 × 12000 hectare= 12/10 hectare= 6/5 hectare
(d)     2.3 hectares in ares
Solution:
    2.3 hectares in ares
    1 hectare = 100 ares
    Therefore, 2.3 hectares = 2.3 × 100 ares= 230 ares.