Conversion Of Units

Sometimes we need to convert the unit of the given measurements to make it similar to the other given units.

UnitConversion
1 cm10 mm
1 m100 cm
1 km1000 m
1 hectare(ha)100 × 100 m
UnitConversion
1 cm2100 mm2
1 m210000 cm2
1 km21000000 m(1e + 6)
1 ha10000 m2

Example: 1

Convert 70 cmin mm2

Solution:

1 cm = 10 mm

1 cm= 10 × 10

1 cm= 100 mm2

70 cm= 700 mm2

Example: 2

Convert 3.5 ha in m2

Solution:

1 ha = 10000 m2

3.5 ha = 10000 × 3.5

ha = 35000 m2

Applications

We can use these concepts of area and perimeter of plane figures in our day to day life.

  • If we have a rectangular field and want to calculate that how long will be the length of the fence required to cover that field, then we will use the perimeter.
  • If a child has to decorate a circular card with the lace then he can calculate the length of the lace required by calculating the circumference of the card, etc.

Example:

A rectangular park is 35 m long and 20 m wide. A path 1.5 m wide is constructed outside the park. Find the area of the path.

Solution

Area of rectangle ABCD – Area of rectangle STUV

AB = 35 + 2.5 + 2.5

= 40 m

AD = 20 + 2.5 + 2.5

= 25 m

Area of ABCD = 40 × 25

= 1000 m2

Area of STUV = 35 × 20

= 700 m2

Area of path = Area of rectangle ABCD – Area of rectangle STUV

= 1000 – 700

= 300 m2

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