Consider a square of side 1 cm. Therefore, its area is 1 sq. cm. Divide one of its sides into 10 equal parts. One such part is equal to 1 mm. We know that 1 cm = 10 mm.

**Expressing
the Area in Square Units**

Consider a square of side 1 *cm*. Therefore, its area is 1 sq. *cm* (1 *cm*^{2}).
Divide one of its sides into 10 equal parts. One such part is equal to 1 *mm*. We know that 1 *cm* = 10 *mm*. That is a square of side 1 *cm* is made up of 100 small squares with 1* mm* square area each. Therefore, the side of this square is 10 *mm* and the area of this square = side × side =10 *mm* × 10 *mm* = 100 *sq*. *mm* (100 *mm*^{2}).
Therefore, the area of a square with 1 *cm* side is 1 *cm*^{2}
= 100 *mm*^{2}.

Similarly, the other conversions can also be done.
For example,

i) 1 *cm*^{2}
= 10* mm* × 10* mm*

= 100* mm*^{2}

ii) 1 *m*^{2} = 100* cm *x 100 *cm*

= 10,000 *cm*^{2}

iii) 1 *km*^{2}
= 1000* m *x 1000 *m*

= 10,00,000 *m*^{2}

** **

__Example 15____ __

Fill in the blanks.

i) 2 *cm*^{2}
= _____* mm*^{2}

ii) 18 *m*^{2} = _____ *cm*^{2}

iii) 5 *km*^{2}
= _____ *m*^{2}

**Solution **

i) 2 *cm*^{2} = 2 × 100 = 200* mm*^{2}

ii) 18 *m*^{2} = 18 × 10000 = 1,80,000
*cm*^{2}

iii) 5 *km*^{2}
= 5 × 1000000 = 50,00,000 *m*^{2}

** **

**DO YOU KNOW?**

**1 acre = 4046.86 m ^{2}**

**1 hectare = 10,000 m ^{2}**

** **

**Try these**

**Fill in the blanks **

**i) 7 cm^{2} = **

**ii) 10 m^{2} = **

**iii) 3 km^{2} = **

__ICT CORNER__

**Perimeter and Area**

**Expected Outcome**

**Step – 1**

Open the Browser by typing the URL Link
given below (or) Scan the QR Code. GeoGebra work sheet named “Perimeter and Area”
will open. There is a worksheet under the title Counting by squares.

**Step – 2**

Click on New Problem and find the perimeter
and Area of the shape by counting along the squares. Click on the respective check
boxes to check your answer.

**Browse in the link:**

Perimeter and Area: https://ggbm.at/dxv8xvhr
or Scan the QR Code.

Tags : Term 3 Chapter 3 | 6th Maths , 6th Maths : Term 3 Unit 3 : Perimeter and Area

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

6th Maths : Term 3 Unit 3 : Perimeter and Area : Expressing the Area in Square Units | Term 3 Chapter 3 | 6th Maths

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