The area of any two-dimensional shape is the space covered by that shape. It is measured by the number of square units. A rectangle is a quadrilateral with two opposite sides equal and parallel to each other. The adjacent sides are not equal, so the side of the higher dimension is called the length and the shorter side is called the breadth of the rectangle. So, the area of the rectangle is the total space enclosed by its four sides on a two-dimensional plane. The area of a rectangle is the number of square units occupied by it where the sides of the rectangle are measured in units such as centimeters, meters, inches, etc. Let’s learn more about it by visiting cuemath.com
Formula of Area of a Rectangle
The formula to find out the area of a rectangle is given as follows:
Area (A) = Length (L) X Breadth (B) square units
So, to calculate the area of a rectangle we must know the dimension of two adjacent sides (length and breadth) of the rectangle. In a rectangle two opposite sides are equal, so values of any two adjacent sides are taken for the calculation.
The length and breadth are measured in certain units so when they are multiplied it gives a value measured in square units.
Steps to Calculate the Area of a Rectangle
The calculation of the area of a rectangle includes the following steps:
- Note the length and breadth of the rectangle along with their units.
- Multiply the values of length and breadth.
- The product obtained is the area of the rectangle in square units.
Let’s consider a rectangle having two sides equal to 8 cm and 5 cm. So, the area of the rectangle will be calculated as, Area = Length X Breadth = 8 cm X 5 cm = 40 square cms.
Derivation of the Formula
A rectangle can be considered as the combination of two right-angle triangles with the diagonal as the common side. The area of a right angle triangle is given by the formula: A = ½ *Base*Height. So the area of the rectangle will be derived as:
Area of rectangle = 2 X ½ *Base*Height = Base * Height = Length * breadth.
Perimeter of Rectangle
The perimeter of any two-dimensional geometrical shape is the total length of its outer boundary. For any polygon, it is the sum of the dimension of all sides. The perimeter of a rectangle is the sum of the values of all four sides. The perimeter is expressed as the same units as the sides like centimeters, meters, inches, etc. It is quite easy to get an idea of the perimeter of a rectangular area as it refers to the total length or distance covered if we move along the borders of that area.
Formula of the Perimeter of a Rectangle
The rectangle has two opposite sides as equal to each other but adjacent sides are not equal. We consider the side with a higher dimension as length (l) and the shorter side as width (w). So the perimeter of the rectangle will be derived as:
Perimeter (P) = length + width + length + width = l + w + l + w = 2 (l +w) = 2 X (length + width)
So the formula to find out the perimeter of rectangle is twice the sum of its length and width.
Let’s consider that we need to find out the perimeters of a rectangular area of 22 meters by 13 meters.
Here, the length is 12 meters and width is 9 meters so by replacing these values in the above formula we get, Perimeter (P) = 2 X (length + width) = 2 X (22 + 13) meters = 2 X 35 meters = 70 meters
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