# Area

#### Summary

**Area**

The amount of surface enclosed by a closed figure is called its area.

The following conventions are to be adopted while calculating the area of a closed figure using a squared or graph paper.

1. Count the fully-filled squares covered by the closed figure as one square unit or unit square each.

2. Count the half-filled squares as half a square unit.

3. Count the squares that are more than half-filled as one square unit.

4. Ignore the squares filled less than half.

For example, the area of this shape can be calculated as shown:

Covered area |
Number |
Area estimate (sq units) |

Fully filled squares | 6 | 6 |

Half-filled squares | 7 | 7 × ½ |

Squares filled more than half | 0 | 0 |

Squares filled less than half | 0 | 0 |

Area covered by full squares = 6 × 1 = 6 sq units

Area covered by half squares = 7 × $\frac{\text{1}}{\text{2}}$ = $\frac{\text{7}}{\text{2}}$ = 3$\frac{\text{1}}{\text{2}}$ sq units

Total area of the given shape = 6 + 3$\frac{\text{1}}{\text{2}}$ sq units

Thus, the total area of the given shape = 9$\frac{\text{1}}{\text{2}}$ sq units.

**Area of a rectangle**

Area of a rectangle = length × breadth.

**Area of the square**

Area of the square = side × side.

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#### Questions & Answers*arrow_upward*

### 1 . How to find the breadth If the length and perimeter Is given

Answer.

Let?s consider an example:

If length of a rectangle is 10 cm and its perimeter is 22 cm, then fin...

### 2 . Why do you think we need the government to find solutions to many disputes or conflicts?

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### 3 . A room is 7m long and 4m 25cm wide.

Length of the room = 7 m

Breadth of the room = 4 m 25 cm = 4.25 m

Area of the floor of the room = length x breadth

...

### 4 . what is mensuration

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### 5 . Five square pieces each of side 3 cm are cut from a rectangular board

18cmsq.