Area
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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.

#### 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.

#### References

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