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

Unit | Conversion |

1 cm | 10 mm |

1 m | 100 cm |

1 km | 1000 m |

1 hectare(ha) | 100 × 100 m |

Unit | Conversion |

1 cm^{2} | 100 mm^{2} |

1 m^{2} | 10000 cm^{2} |

1 km^{2} | 1000000 m^{2 }(1e + 6) |

1 ha | 10000 m^{2} |

**Example: 1**

Convert 70 cm^{2 }in mm^{2}

**Solution:**

1 cm = 10 mm

1 cm^{2 }= 10 × 10

1 cm^{2 }= 100 mm^{2}

70 cm^{2 }= 700 mm^{2}

**Example: 2**

Convert 3.5 ha in m^{2}

**Solution:**

1 ha = 10000 m^{2}

3.5 ha = 10000 × 3.5

ha = 35000 m^{2}

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 m^{2}

Area of STUV = 35 × 20

= 700 m^{2}

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

= 1000 – 700

= 300 m^{2}

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