## Area of Squares and Rectangles

#### What is the formula to calculate Area of a Rectangle and a Square?

**Area of Rectangle = Length × Breadth**

Area of Square = Length × Length

Area of Square = Length × Length

Let's find the area of the rectangle below.

To find the area of the rectangle, we find out how many one-centimetre squares we can fit into the rectangle.

Area of the rectangle = 4 × 2

= 8 cm

^{2}

We need 8 one-centimetre squares to make a rectangle 4 cm long and 2 cm wide.

The area of the rectangle is 8 cm

^{2}.

#### 1. What is the area of a rectangle of sides 3 cm by 2 cm?

To find out the area of the rectangle, we must find out how many 1-cm squares it is made up of.

A 3 cm by 2 cm rectangle is made up of 2 rows of 1-cm squares.

Each row has three 1-cm squares.

The rectangle is made up of six 1-cm squares.

So, the area of the rectangle is 6 cm

In other words, the area of the rectangle is the product of its

The longer side of a rectangle is called the

The shorter side is called the

Area of the given rectangle

= 3 × 2

= 6 cm

Each row has three 1-cm squares.

The rectangle is made up of six 1-cm squares.

So, the area of the rectangle is 6 cm

^{2}.In other words, the area of the rectangle is the product of its

*length*and*breadth*.The longer side of a rectangle is called the

**length**.The shorter side is called the

**breadth**.**Area of rectangle = Length × Breadth**Area of the given rectangle

= 3 × 2

= 6 cm

^{2}#### 2. What is the area of a 4-cm square?

To find out the area of the square, we must find out how many 1-cm squares it is made up of.

A 4-cm square is made up of 4 rows of 1-cm squares.

Each row has four 1-cm squares.

The square is made up of sixteen 1-cm squares.

So, the area of the square is 16 cm

In other words, the area of the square is the product of its sides.

Area of the given square

= 4 × 4

= 16 cm

Each row has four 1-cm squares.

The square is made up of sixteen 1-cm squares.

So, the area of the square is 16 cm

^{2}.In other words, the area of the square is the product of its sides.

**Area of square = Side × Side**Area of the given square

= 4 × 4

= 16 cm

^{2}#### 3. Caroline wants to build a wall as shown below.

What will be the area of the wall she builds?

Area of rectangle

= Length × Breadth

= 5 m × 4 m

= 20 m

The area of the wall will be

= Length × Breadth

= 5 m × 4 m

= 20 m

^{2}The area of the wall will be

**20 m**.^{2}#### 4. A square slice of cheese is 9 cm long.

Find the area of the slice of cheese.

Area of square

= Side × Side

= 9 cm × 9 cm

= 81 cm

The area of the slice of cheese is

= Side × Side

= 9 cm × 9 cm

= 81 cm

^{2}The area of the slice of cheese is

**81 cm**.^{2}