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Area

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Area - Lesson 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 × 1 2 = 7 2 = 3 1 2 sq units

Total area of the given shape = 6 + 3 1 2 sq units

Thus, the total area of the given shape = 9 1 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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