A quadrilateral is a called rectangle, if it is a parallelogram and each angle measures 90 degrees.**
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A rectangle is a four sided and closed figure. In a rectangle all opposite sides are parallel and equal. Also in a rectangle all the adjacent sides are perpendicular.

A rectangle is a quadrilateral and also a parallelogram.**
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Let us consider a rectangle with length x units and width y units.

Area of the above rectangle = L × W

**Example 1: **Given a rectangle where the length is 5cm and the width is 3cm. Find the area of this rectangle.

__Solution__: To calculate the area, we can use the formula for the area of a rectangle:

*A = L×W**
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Since the length is given as 5cm, we can substitute *L* with 5. Similarly, since the width is given as 3cm, we can substitute *W* with 3. After doing so, we can calculate *A*, as shown below:

*A = L×W**
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*A = 3×5**
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*A = 15
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Now, the calculated number **15** only has a meaning if we include the unit for it. Since the given length and width are in cm, the unit for area will be cm^{2}. Hence:

__A = 15 cm__^{2}__
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**Example 2: **Find the area of the garden, length and width of the garden are respectively 600m and 400m.

__Solution__:

*Area of garden = Length×Width
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*A = L×W**
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*A = 600×400
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*A = 240000 m*^{2}

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**Example 3: **A white paper has a size of length 20 cm and width 15 cm. Jack has drawn a rectangle in the center of the paper which is 10 cm in length and 5 cm in width and painted the entire rectangle in violet color. Find the area of the violet colored portion and area of white portion.

__Solution__: We know that area of a rectangle is length × width.

Here the given paper has the shape of a rectangle.

So the area of the paper is *= 20cm x 15cm = 300cm²*.

And the area of the violet colored rectangle = *10cm x 5cm = 50cm²*.

So the area of the white portion *= 300cm² - 50cm² = 250cm²*.

**Example 4: ****The length of a rectangular shaped garden is 250 meters and then the width of the garden is 175 meters. Find the area of the rectangular garden.****
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__Solution__: The length of the garden = 250 meter

The width of the garden = 175 meter

Area of the rectangular garden = *250 x 175
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* = 43,750 m*^{2}

**Example 5: **In an auditorium the floor is covered with a rectangular carpet, which is measured 9 m in length and 6 m in width. Calculate the area of the rectangle carpet.__
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__Solution__**:
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Given that, length (L) of carpet =9m and Breadth of a carpet (W) =6m

Area of rectangle = length Breadth

Area = L × W = 9 × 6 = 54 m^{2}

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