Area of a Rectangle
Let us follow the square grid sheet method to
find the area of a rectangle.
Consider
a rectangle of length 5 cm and breadth 3 cm. Draw this rectangle on a square
grid sheet.
Count the number of squares that the rectangle covers. There are 15 squares. So, the area of a rectangle of sides 5 cm and 3 cm is 15 sq. cm.
Since
15 = 5 × 3, therefore the product of the length and the breadth of the
rectangle is equal to its area.
From
this verified result, we can conclude that
Area of a rectangle = length
× breadth
Area of a Rectangle Formula
Area of a rectangle = length × breadth
Area of a Rectangle Example
Example
1: Find
the area of a rectangle whose length is 60 cm and breadth is 40 cm.
Solution: Given: Length = 60 cm and breadth =
40 cm
We
know that,
Area
of a rectangle = length × breadth
= 60 × 40 =
2400 sq. cm
Example 2: The perimeter of a rectangle is 48
cm. If the length of the rectangle is 14 cm, then find the area of the
rectangle.
Solution: Given: Length of the rectangle = 14 cm and perimeter of the rectangle = 48 cm
We know that,
Perimeter of a rectangle = 2(length +
breadth)
48 =
2(14 + breadth)
24 = 14
+ breadth
Breadth = 24 – 14
= 10 cm
Area of a rectangle = length × breadth
= 14 × 10 = 140 sq. cm
Example 3: The area of a rectangular park is
240 sq. m. If its length is 16 m, find the breadth.
Solution:
The area of the park = 240 sq. m
The length of the park = 16 m
The breadth of the park = ?
The area of the park = length ×
breadth
240 = 16 ×
breadth
So, breadth = 240/16 = 15 m
Example 4: How
many rectangular tiles of length 20 cm and breadth 10 cm will be
required to cover a rectangular floor whose
length and breadth are 8 m and 5 m, respectively?
Solution: Here,
length of the floor = 8 m = 800 cm
Breadth of the floor = 5 m = 500 cm
Area of the floor = 800 cm × 500 cm = 400000
cm2
Area of 1 tile = 20 cm × 10 cm = 200
cm2
Thus, the number of tiles required =
Area of the floor/Area of 1 tile
= 400000/200
= 2000 tiles
Hence, the number of tiles required is
2000.