CLASS-6
AREA - AREA OF PLANE FIGURE

AREA OF PLANE FIGURE -

Area of a plane closed figure, is the measurement of the region (surface) enclosed by its boundary. To measure the area of a plane closed figure, we have to compare it with some unit of area. For convenience, the shape we choose for the unit of area is a unit square. If the side of the square is 1 meter, then

area

the unit of the square is 1 square meter, and if the side of the square is 1 cm then the unit is called square centimeter. 




Measuring Area by Using Square Paper -

Look at the adjoining plane closed paper. To find the area of the region enclosed by this figure.

area

To find the area of the region enclosed by this figure, we place the figure on a squared paper (as shown) where every square measure 1 unit X 1 unit.

Mark an outline of the figure on the squared paper. Shade the region enclosed by the figure and remove the figure. Count the number of the shaded squares. In this case, there are 9 shaded square. It means that, the area of the region enclosed by the figure = 9 square unit.


Area of the Rectangle -

Suppose you want to measure the area of the rectangular floor of a room which is 6 meters long and 4 meters wide. On the floor, you mark off units of one square meter. 

Notice that the, whole floor is covered completely by 4 rows of 6 squares by 24 squares. It means that the area of the floor 24 square meters. It follows that, if the floor is l meter long and b meters wide then the area of the floor = l X b square meter

area

However if the length and width of the floor are not both whole numbers of meters, you have to use fraction or decimals of a square meter to find the area of the floor or you could use smaller units of area such as square centimeter etc. In fact the above formulae is true for all values of l & b, thus we have -

Area of Rectangle (A) = Length (l) X Breadth (b)

                     Area Of the Rectangle (A)

Or, Length (l) = --------------------------,

                             Breadth (b)

                        Area of the Rectangle (A)

Or, Breadth (b) = ---------------------------,

                                Length (l)

area