Page 159 - Maths Class 05

Area

Area is the space enclosed by a plane figure (2 Dimensional shapes). Area is measured

in ‘square’ units. The area of a plane is the number of squares needed to cover it
completely.

Look at the figures given below :

The inside portion in each figure is the interior of each figure. When I said that the top

of a table as 8 square sheets of paper, I infact measured the interior of the top of the
table.

We can measure a plane region by using a plane region as a unit. We do so by finding
the equal number of unit regions that are needed to cover the plane region.

D C
Area of a Rectangle and a Square

We know that a rectangle has length and Breadth (b)
breadth. It can be divided into a number

of squares each having a unit area. A Length (l) B
Study the rectangle given below of length 6 cm and breadth 2 cm that has been divided

into squares :

D C ABCD is a rectangle of length 6 cm and
breadth 2 cm. By dividing it into number

2 cm of squares each of side 1 cm, we get 12
such squares. The area of each such
square is 1 sq. cm.
A 6 cm B

Thus, area of the rectangle ABCD = 12 sq. cm. Also, length × breadth = (6 × 2)
sq. cm. = 12 sq. cm. Thus, areas of a rectangle (length × breadth) sq. units.

Hence,
Area of a rectangle = length × breadth

= (l × b) sq. units

From the above formula,
Area
Length of a rectangle =
Breadth

Mathematics-5 159