Area of a Rectangle

# Area of a Rectangle

## 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)

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

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.